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Finding the Fourth Proportional to 431,259.40, 645,333.90 and 291,291.40

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Solution

The fourth proportional to 431,259.40, 645,333.90 and 291,291.40 is: 435,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,259.40 : 645,333.90 = 291,291.40 : x
  2. Step 2: Convert to fraction form
    431,259.40/645,333.90 = 291,291.40/x
  3. Step 3: Cross multiply
    431,259.40x = 645,333.90 × 291,291.40
  4. Step 4: Simplify right side
    431,259.40x = 187,980,215,198.46
  5. Step 5: Solve for x
    x = 187,980,215,198.46/431,259.40
  6. Step 6: Final answer
    x = 435,886.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.