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Finding the Fourth Proportional to 1,411,966.22, 1,948,526.16 and 767,387.93

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Solution

The fourth proportional to 1,411,966.22, 1,948,526.16 and 767,387.93 is: 1,059,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,966.22 : 1,948,526.16 = 767,387.93 : x
  2. Step 2: Convert to fraction form
    1,411,966.22/1,948,526.16 = 767,387.93/x
  3. Step 3: Cross multiply
    1,411,966.22x = 1,948,526.16 × 767,387.93
  4. Step 4: Simplify right side
    1,411,966.22x = 1,495,275,456,473.25
  5. Step 5: Solve for x
    x = 1,495,275,456,473.25/1,411,966.22
  6. Step 6: Final answer
    x = 1,059,002.29

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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.