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Finding the Fourth Proportional to 532,923.80, 735,412.92 and 291,214.60

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Solution

The fourth proportional to 532,923.80, 735,412.92 and 291,214.60 is: 401,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,923.80 : 735,412.92 = 291,214.60 : x
  2. Step 2: Convert to fraction form
    532,923.80/735,412.92 = 291,214.60/x
  3. Step 3: Cross multiply
    532,923.80x = 735,412.92 × 291,214.60
  4. Step 4: Simplify right side
    532,923.80x = 214,162,979,332.63
  5. Step 5: Solve for x
    x = 214,162,979,332.63/532,923.80
  6. Step 6: Final answer
    x = 401,864.17

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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.