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Finding the Fourth Proportional to 549,496.40, 822,640.80 and 392,032.40

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Solution

The fourth proportional to 549,496.40, 822,640.80 and 392,032.40 is: 586,904.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,496.40 : 822,640.80 = 392,032.40 : x
  2. Step 2: Convert to fraction form
    549,496.40/822,640.80 = 392,032.40/x
  3. Step 3: Cross multiply
    549,496.40x = 822,640.80 × 392,032.40
  4. Step 4: Simplify right side
    549,496.40x = 322,501,847,161.92
  5. Step 5: Solve for x
    x = 322,501,847,161.92/549,496.40
  6. Step 6: Final answer
    x = 586,904.39

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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.