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Finding the Fourth Proportional to 418,417.12, 577,741.48 and 257,347.04

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Solution

The fourth proportional to 418,417.12, 577,741.48 and 257,347.04 is: 355,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,417.12 : 577,741.48 = 257,347.04 : x
  2. Step 2: Convert to fraction form
    418,417.12/577,741.48 = 257,347.04/x
  3. Step 3: Cross multiply
    418,417.12x = 577,741.48 × 257,347.04
  4. Step 4: Simplify right side
    418,417.12x = 148,680,059,763.22
  5. Step 5: Solve for x
    x = 148,680,059,763.22/418,417.12
  6. Step 6: Final answer
    x = 355,339.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.