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Finding the Fourth Proportional to 566,705.10, 782,572.56 and 360,040.28

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Solution

The fourth proportional to 566,705.10, 782,572.56 and 360,040.28 is: 497,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,705.10 : 782,572.56 = 360,040.28 : x
  2. Step 2: Convert to fraction form
    566,705.10/782,572.56 = 360,040.28/x
  3. Step 3: Cross multiply
    566,705.10x = 782,572.56 × 360,040.28
  4. Step 4: Simplify right side
    566,705.10x = 281,757,643,622.72
  5. Step 5: Solve for x
    x = 281,757,643,622.72/566,705.10
  6. Step 6: Final answer
    x = 497,185.65

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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.