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Finding the Fourth Proportional to 547,765.60, 821,648.40 and 463,784.80

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Solution

The fourth proportional to 547,765.60, 821,648.40 and 463,784.80 is: 695,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,765.60 : 821,648.40 = 463,784.80 : x
  2. Step 2: Convert to fraction form
    547,765.60/821,648.40 = 463,784.80/x
  3. Step 3: Cross multiply
    547,765.60x = 821,648.40 × 463,784.80
  4. Step 4: Simplify right side
    547,765.60x = 381,068,038,864.32
  5. Step 5: Solve for x
    x = 381,068,038,864.32/547,765.60
  6. Step 6: Final answer
    x = 695,677.20

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.