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Finding the Fourth Proportional to 549,488.40, 822,628.80 and 392,024.40

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Solution

The fourth proportional to 549,488.40, 822,628.80 and 392,024.40 is: 586,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,488.40 : 822,628.80 = 392,024.40 : x
  2. Step 2: Convert to fraction form
    549,488.40/822,628.80 = 392,024.40/x
  3. Step 3: Cross multiply
    549,488.40x = 822,628.80 × 392,024.40
  4. Step 4: Simplify right side
    549,488.40x = 322,490,561,742.72
  5. Step 5: Solve for x
    x = 322,490,561,742.72/549,488.40
  6. Step 6: Final answer
    x = 586,892.39

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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.