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Finding the Fourth Proportional to 553,344.60, 830,016.90 and 506,105.40

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Solution

The fourth proportional to 553,344.60, 830,016.90 and 506,105.40 is: 759,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,344.60 : 830,016.90 = 506,105.40 : x
  2. Step 2: Convert to fraction form
    553,344.60/830,016.90 = 506,105.40/x
  3. Step 3: Cross multiply
    553,344.60x = 830,016.90 × 506,105.40
  4. Step 4: Simplify right side
    553,344.60x = 420,076,035,181.26
  5. Step 5: Solve for x
    x = 420,076,035,181.26/553,344.60
  6. Step 6: Final answer
    x = 759,158.10

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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.