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Finding the Fourth Proportional to 532,833.12, 735,359.64 and 291,151.50

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Solution

The fourth proportional to 532,833.12, 735,359.64 and 291,151.50 is: 401,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,833.12 : 735,359.64 = 291,151.50 : x
  2. Step 2: Convert to fraction form
    532,833.12/735,359.64 = 291,151.50/x
  3. Step 3: Cross multiply
    532,833.12x = 735,359.64 × 291,151.50
  4. Step 4: Simplify right side
    532,833.12x = 214,101,062,225.46
  5. Step 5: Solve for x
    x = 214,101,062,225.46/532,833.12
  6. Step 6: Final answer
    x = 401,816.36

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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.