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Finding the Fourth Proportional to 532,807.70, 735,275.21 and 291,094.31

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Solution

The fourth proportional to 532,807.70, 735,275.21 and 291,094.31 is: 401,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,807.70 : 735,275.21 = 291,094.31 : x
  2. Step 2: Convert to fraction form
    532,807.70/735,275.21 = 291,094.31/x
  3. Step 3: Cross multiply
    532,807.70x = 735,275.21 × 291,094.31
  4. Step 4: Simplify right side
    532,807.70x = 214,034,432,042.82
  5. Step 5: Solve for x
    x = 214,034,432,042.82/532,807.70
  6. Step 6: Final answer
    x = 401,710.47

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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.