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Finding the Fourth Proportional to 415,861.48, 573,368.90 and 347,050.12

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Solution

The fourth proportional to 415,861.48, 573,368.90 and 347,050.12 is: 478,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,861.48 : 573,368.90 = 347,050.12 : x
  2. Step 2: Convert to fraction form
    415,861.48/573,368.90 = 347,050.12/x
  3. Step 3: Cross multiply
    415,861.48x = 573,368.90 × 347,050.12
  4. Step 4: Simplify right side
    415,861.48x = 198,987,745,549.27
  5. Step 5: Solve for x
    x = 198,987,745,549.27/415,861.48
  6. Step 6: Final answer
    x = 478,495.26

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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.