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Finding the Fourth Proportional to 532,873.76, 735,343.92 and 291,164.63

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Solution

The fourth proportional to 532,873.76, 735,343.92 and 291,164.63 is: 401,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,873.76 : 735,343.92 = 291,164.63 : x
  2. Step 2: Convert to fraction form
    532,873.76/735,343.92 = 291,164.63/x
  3. Step 3: Cross multiply
    532,873.76x = 735,343.92 × 291,164.63
  4. Step 4: Simplify right side
    532,873.76x = 214,106,136,712.83
  5. Step 5: Solve for x
    x = 214,106,136,712.83/532,873.76
  6. Step 6: Final answer
    x = 401,795.24

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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.