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Finding the Fourth Proportional to 511,411.13, 706,050.09 and 454,665.77

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Solution

The fourth proportional to 511,411.13, 706,050.09 and 454,665.77 is: 627,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,411.13 : 706,050.09 = 454,665.77 : x
  2. Step 2: Convert to fraction form
    511,411.13/706,050.09 = 454,665.77/x
  3. Step 3: Cross multiply
    511,411.13x = 706,050.09 × 454,665.77
  4. Step 4: Simplify right side
    511,411.13x = 321,016,804,298.17
  5. Step 5: Solve for x
    x = 321,016,804,298.17/511,411.13
  6. Step 6: Final answer
    x = 627,707.90

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1.5x scale

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.