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Finding the Fourth Proportional to 1,005,764.69, 1,386,006.31 and 833,932.10

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Solution

The fourth proportional to 1,005,764.69, 1,386,006.31 and 833,932.10 is: 1,149,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,764.69 : 1,386,006.31 = 833,932.10 : x
  2. Step 2: Convert to fraction form
    1,005,764.69/1,386,006.31 = 833,932.10/x
  3. Step 3: Cross multiply
    1,005,764.69x = 1,386,006.31 × 833,932.10
  4. Step 4: Simplify right side
    1,005,764.69x = 1,155,835,152,711.55
  5. Step 5: Solve for x
    x = 1,155,835,152,711.55/1,005,764.69
  6. Step 6: Final answer
    x = 1,149,210.31

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