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Finding the Fourth Proportional to 316,952.96, 472,635.88 and 314,110.40

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Solution

The fourth proportional to 316,952.96, 472,635.88 and 314,110.40 is: 468,397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,952.96 : 472,635.88 = 314,110.40 : x
  2. Step 2: Convert to fraction form
    316,952.96/472,635.88 = 314,110.40/x
  3. Step 3: Cross multiply
    316,952.96x = 472,635.88 × 314,110.40
  4. Step 4: Simplify right side
    316,952.96x = 148,459,845,321.15
  5. Step 5: Solve for x
    x = 148,459,845,321.15/316,952.96
  6. Step 6: Final answer
    x = 468,397.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.