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Finding the Fourth Proportional to 749,068.75, 1,033,714.88 and 409,537

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Solution

The fourth proportional to 749,068.75, 1,033,714.88 and 409,537 is: 565,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,068.75 : 1,033,714.88 = 409,537 : x
  2. Step 2: Convert to fraction form
    749,068.75/1,033,714.88 = 409,537/x
  3. Step 3: Cross multiply
    749,068.75x = 1,033,714.88 × 409,537
  4. Step 4: Simplify right side
    749,068.75x = 423,344,490,810.56
  5. Step 5: Solve for x
    x = 423,344,490,810.56/749,068.75
  6. Step 6: Final answer
    x = 565,161.06

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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.