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Finding the Fourth Proportional to 731,479.68, 1,009,525.68 and 409,271.40

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Solution

The fourth proportional to 731,479.68, 1,009,525.68 and 409,271.40 is: 564,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,479.68 : 1,009,525.68 = 409,271.40 : x
  2. Step 2: Convert to fraction form
    731,479.68/1,009,525.68 = 409,271.40/x
  3. Step 3: Cross multiply
    731,479.68x = 1,009,525.68 × 409,271.40
  4. Step 4: Simplify right side
    731,479.68x = 413,169,988,389.55
  5. Step 5: Solve for x
    x = 413,169,988,389.55/731,479.68
  6. Step 6: Final answer
    x = 564,841.38

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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.