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Finding the Fourth Proportional to 549,294.16, 823,275.88 and 233,086.80

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Solution

The fourth proportional to 549,294.16, 823,275.88 and 233,086.80 is: 349,347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,294.16 : 823,275.88 = 233,086.80 : x
  2. Step 2: Convert to fraction form
    549,294.16/823,275.88 = 233,086.80/x
  3. Step 3: Cross multiply
    549,294.16x = 823,275.88 × 233,086.80
  4. Step 4: Simplify right side
    549,294.16x = 191,894,740,386.38
  5. Step 5: Solve for x
    x = 191,894,740,386.38/549,294.16
  6. Step 6: Final answer
    x = 349,347.86

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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.