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Finding the Fourth Proportional to 514,327.62, 709,779.45 and 296,531.98

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Solution

The fourth proportional to 514,327.62, 709,779.45 and 296,531.98 is: 409,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,327.62 : 709,779.45 = 296,531.98 : x
  2. Step 2: Convert to fraction form
    514,327.62/709,779.45 = 296,531.98/x
  3. Step 3: Cross multiply
    514,327.62x = 709,779.45 × 296,531.98
  4. Step 4: Simplify right side
    514,327.62x = 210,472,305,671.81
  5. Step 5: Solve for x
    x = 210,472,305,671.81/514,327.62
  6. Step 6: Final answer
    x = 409,218.36

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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.