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Finding the Fourth Proportional to 549,337.29, 823,341.64 and 282,952.49

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Solution

The fourth proportional to 549,337.29, 823,341.64 and 282,952.49 is: 424,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,337.29 : 823,341.64 = 282,952.49 : x
  2. Step 2: Convert to fraction form
    549,337.29/823,341.64 = 282,952.49/x
  3. Step 3: Cross multiply
    549,337.29x = 823,341.64 × 282,952.49
  4. Step 4: Simplify right side
    549,337.29x = 232,966,566,700.62
  5. Step 5: Solve for x
    x = 232,966,566,700.62/549,337.29
  6. Step 6: Final answer
    x = 424,086.57

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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.