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Finding the Fourth Proportional to 971,514, 1,457,368.22 and 297,587.52

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Solution

The fourth proportional to 971,514, 1,457,368.22 and 297,587.52 is: 446,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,514 : 1,457,368.22 = 297,587.52 : x
  2. Step 2: Convert to fraction form
    971,514/1,457,368.22 = 297,587.52/x
  3. Step 3: Cross multiply
    971,514x = 1,457,368.22 × 297,587.52
  4. Step 4: Simplify right side
    971,514x = 433,694,594,316.61
  5. Step 5: Solve for x
    x = 433,694,594,316.61/971,514
  6. Step 6: Final answer
    x = 446,411.06

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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.