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Finding the Fourth Proportional to 506,041.12, 698,859.66 and 437,730.13

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Solution

The fourth proportional to 506,041.12, 698,859.66 and 437,730.13 is: 604,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,041.12 : 698,859.66 = 437,730.13 : x
  2. Step 2: Convert to fraction form
    506,041.12/698,859.66 = 437,730.13/x
  3. Step 3: Cross multiply
    506,041.12x = 698,859.66 × 437,730.13
  4. Step 4: Simplify right side
    506,041.12x = 305,911,929,823.56
  5. Step 5: Solve for x
    x = 305,911,929,823.56/506,041.12
  6. Step 6: Final answer
    x = 604,519.91

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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.