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Finding the Fourth Proportional to 974,487, 1,461,714.14 and 291,375.38

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Solution

The fourth proportional to 974,487, 1,461,714.14 and 291,375.38 is: 437,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,487 : 1,461,714.14 = 291,375.38 : x
  2. Step 2: Convert to fraction form
    974,487/1,461,714.14 = 291,375.38/x
  3. Step 3: Cross multiply
    974,487x = 1,461,714.14 × 291,375.38
  4. Step 4: Simplify right side
    974,487x = 425,907,512,993.87
  5. Step 5: Solve for x
    x = 425,907,512,993.87/974,487
  6. Step 6: Final answer
    x = 437,058.18

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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.