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Finding the Fourth Proportional to 415,683.96, 573,643.74 and 224,697.24

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Solution

The fourth proportional to 415,683.96, 573,643.74 and 224,697.24 is: 310,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,683.96 : 573,643.74 = 224,697.24 : x
  2. Step 2: Convert to fraction form
    415,683.96/573,643.74 = 224,697.24/x
  3. Step 3: Cross multiply
    415,683.96x = 573,643.74 × 224,697.24
  4. Step 4: Simplify right side
    415,683.96x = 128,896,165,121.28
  5. Step 5: Solve for x
    x = 128,896,165,121.28/415,683.96
  6. Step 6: Final answer
    x = 310,082.12

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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.