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Finding the Fourth Proportional to 971,480.16, 1,457,298 and 297,614.88

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Solution

The fourth proportional to 971,480.16, 1,457,298 and 297,614.88 is: 446,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,480.16 : 1,457,298 = 297,614.88 : x
  2. Step 2: Convert to fraction form
    971,480.16/1,457,298 = 297,614.88/x
  3. Step 3: Cross multiply
    971,480.16x = 1,457,298 × 297,614.88
  4. Step 4: Simplify right side
    971,480.16x = 433,713,569,394.24
  5. Step 5: Solve for x
    x = 433,713,569,394.24/971,480.16
  6. Step 6: Final answer
    x = 446,446.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.