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Finding the Fourth Proportional to 614,609.60, 847,859.73 and 410,710.58

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Solution

The fourth proportional to 614,609.60, 847,859.73 and 410,710.58 is: 566,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,609.60 : 847,859.73 = 410,710.58 : x
  2. Step 2: Convert to fraction form
    614,609.60/847,859.73 = 410,710.58/x
  3. Step 3: Cross multiply
    614,609.60x = 847,859.73 × 410,710.58
  4. Step 4: Simplify right side
    614,609.60x = 348,224,961,466.94
  5. Step 5: Solve for x
    x = 348,224,961,466.94/614,609.60
  6. Step 6: Final answer
    x = 566,579.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.