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Finding the Fourth Proportional to 1,009,156, 1,513,734 and 410,442.88

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Solution

The fourth proportional to 1,009,156, 1,513,734 and 410,442.88 is: 615,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,156 : 1,513,734 = 410,442.88 : x
  2. Step 2: Convert to fraction form
    1,009,156/1,513,734 = 410,442.88/x
  3. Step 3: Cross multiply
    1,009,156x = 1,513,734 × 410,442.88
  4. Step 4: Simplify right side
    1,009,156x = 621,301,342,513.92
  5. Step 5: Solve for x
    x = 621,301,342,513.92/1,009,156
  6. Step 6: Final answer
    x = 615,664.32

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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.