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Finding the Fourth Proportional to 360,264.32, 497,165.24 and 207,299.46

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Solution

The fourth proportional to 360,264.32, 497,165.24 and 207,299.46 is: 286,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,264.32 : 497,165.24 = 207,299.46 : x
  2. Step 2: Convert to fraction form
    360,264.32/497,165.24 = 207,299.46/x
  3. Step 3: Cross multiply
    360,264.32x = 497,165.24 × 207,299.46
  4. Step 4: Simplify right side
    360,264.32x = 103,062,084,746.27
  5. Step 5: Solve for x
    x = 103,062,084,746.27/360,264.32
  6. Step 6: Final answer
    x = 286,073.53

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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.