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Finding the Fourth Proportional to 415,362.96, 573,200.40 and 224,376.32

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Solution

The fourth proportional to 415,362.96, 573,200.40 and 224,376.32 is: 309,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,362.96 : 573,200.40 = 224,376.32 : x
  2. Step 2: Convert to fraction form
    415,362.96/573,200.40 = 224,376.32/x
  3. Step 3: Cross multiply
    415,362.96x = 573,200.40 × 224,376.32
  4. Step 4: Simplify right side
    415,362.96x = 128,612,596,374.53
  5. Step 5: Solve for x
    x = 128,612,596,374.53/415,362.96
  6. Step 6: Final answer
    x = 309,639.06

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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.