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Finding the Fourth Proportional to 413,475.30, 570,657.74 and 252,424.01

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Solution

The fourth proportional to 413,475.30, 570,657.74 and 252,424.01 is: 348,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,475.30 : 570,657.74 = 252,424.01 : x
  2. Step 2: Convert to fraction form
    413,475.30/570,657.74 = 252,424.01/x
  3. Step 3: Cross multiply
    413,475.30x = 570,657.74 × 252,424.01
  4. Step 4: Simplify right side
    413,475.30x = 144,047,715,232.86
  5. Step 5: Solve for x
    x = 144,047,715,232.86/413,475.30
  6. Step 6: Final answer
    x = 348,382.88

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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.