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Finding the Fourth Proportional to 532,970.01, 735,508.23 and 291,262.77

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Solution

The fourth proportional to 532,970.01, 735,508.23 and 291,262.77 is: 401,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,970.01 : 735,508.23 = 291,262.77 : x
  2. Step 2: Convert to fraction form
    532,970.01/735,508.23 = 291,262.77/x
  3. Step 3: Cross multiply
    532,970.01x = 735,508.23 × 291,262.77
  4. Step 4: Simplify right side
    532,970.01x = 214,226,164,427.60
  5. Step 5: Solve for x
    x = 214,226,164,427.60/532,970.01
  6. Step 6: Final answer
    x = 401,947.88

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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.