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Finding the Fourth Proportional to 507,864.08, 762,146.67 and 175,440.08

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Solution

The fourth proportional to 507,864.08, 762,146.67 and 175,440.08 is: 263,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,864.08 : 762,146.67 = 175,440.08 : x
  2. Step 2: Convert to fraction form
    507,864.08/762,146.67 = 175,440.08/x
  3. Step 3: Cross multiply
    507,864.08x = 762,146.67 × 175,440.08
  4. Step 4: Simplify right side
    507,864.08x = 133,711,072,756.53
  5. Step 5: Solve for x
    x = 133,711,072,756.53/507,864.08
  6. Step 6: Final answer
    x = 263,281.22

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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.