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Finding the Fourth Proportional to 506,011.89, 698,322.41 and 291,184.10

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Solution

The fourth proportional to 506,011.89, 698,322.41 and 291,184.10 is: 401,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,011.89 : 698,322.41 = 291,184.10 : x
  2. Step 2: Convert to fraction form
    506,011.89/698,322.41 = 291,184.10/x
  3. Step 3: Cross multiply
    506,011.89x = 698,322.41 × 291,184.10
  4. Step 4: Simplify right side
    506,011.89x = 203,340,382,866.71
  5. Step 5: Solve for x
    x = 203,340,382,866.71/506,011.89
  6. Step 6: Final answer
    x = 401,849.02

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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.