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Finding the Fourth Proportional to 359,294.48, 537,324.02 and 319,547.12

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Solution

The fourth proportional to 359,294.48, 537,324.02 and 319,547.12 is: 477,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,294.48 : 537,324.02 = 319,547.12 : x
  2. Step 2: Convert to fraction form
    359,294.48/537,324.02 = 319,547.12/x
  3. Step 3: Cross multiply
    359,294.48x = 537,324.02 × 319,547.12
  4. Step 4: Simplify right side
    359,294.48x = 171,700,341,763.41
  5. Step 5: Solve for x
    x = 171,700,341,763.41/359,294.48
  6. Step 6: Final answer
    x = 477,881.94

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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.