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Finding the Fourth Proportional to 360,546.96, 497,553.80 and 207,529.24

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Solution

The fourth proportional to 360,546.96, 497,553.80 and 207,529.24 is: 286,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,546.96 : 497,553.80 = 207,529.24 : x
  2. Step 2: Convert to fraction form
    360,546.96/497,553.80 = 207,529.24/x
  3. Step 3: Cross multiply
    360,546.96x = 497,553.80 × 207,529.24
  4. Step 4: Simplify right side
    360,546.96x = 103,256,961,973.11
  5. Step 5: Solve for x
    x = 103,256,961,973.11/360,546.96
  6. Step 6: Final answer
    x = 286,389.77

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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.