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Finding the Fourth Proportional to 397,547.60, 596,148.60 and 117,006.80

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Solution

The fourth proportional to 397,547.60, 596,148.60 and 117,006.80 is: 175,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,547.60 : 596,148.60 = 117,006.80 : x
  2. Step 2: Convert to fraction form
    397,547.60/596,148.60 = 117,006.80/x
  3. Step 3: Cross multiply
    397,547.60x = 596,148.60 × 117,006.80
  4. Step 4: Simplify right side
    397,547.60x = 69,753,440,010.48
  5. Step 5: Solve for x
    x = 69,753,440,010.48/397,547.60
  6. Step 6: Final answer
    x = 175,459.34

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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.