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Finding the Fourth Proportional to 1,752,165, 2,417,987.70 and 947,349

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Solution

The fourth proportional to 1,752,165, 2,417,987.70 and 947,349 is: 1,307,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,165 : 2,417,987.70 = 947,349 : x
  2. Step 2: Convert to fraction form
    1,752,165/2,417,987.70 = 947,349/x
  3. Step 3: Cross multiply
    1,752,165x = 2,417,987.70 × 947,349
  4. Step 4: Simplify right side
    1,752,165x = 2,290,678,229,607.30
  5. Step 5: Solve for x
    x = 2,290,678,229,607.30/1,752,165
  6. Step 6: Final answer
    x = 1,307,341.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.