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Finding the Fourth Proportional to 553,365.10, 830,047.65 and 506,125.90

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Solution

The fourth proportional to 553,365.10, 830,047.65 and 506,125.90 is: 759,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,365.10 : 830,047.65 = 506,125.90 : x
  2. Step 2: Convert to fraction form
    553,365.10/830,047.65 = 506,125.90/x
  3. Step 3: Cross multiply
    553,365.10x = 830,047.65 × 506,125.90
  4. Step 4: Simplify right side
    553,365.10x = 420,108,613,899.14
  5. Step 5: Solve for x
    x = 420,108,613,899.14/553,365.10
  6. Step 6: Final answer
    x = 759,188.85

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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.