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Finding the Fourth Proportional to 469,862.40, 703,353.60 and 258,854.40

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Solution

The fourth proportional to 469,862.40, 703,353.60 and 258,854.40 is: 387,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,862.40 : 703,353.60 = 258,854.40 : x
  2. Step 2: Convert to fraction form
    469,862.40/703,353.60 = 258,854.40/x
  3. Step 3: Cross multiply
    469,862.40x = 703,353.60 × 258,854.40
  4. Step 4: Simplify right side
    469,862.40x = 182,066,174,115.84
  5. Step 5: Solve for x
    x = 182,066,174,115.84/469,862.40
  6. Step 6: Final answer
    x = 387,488.28

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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.