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Finding the Fourth Proportional to 372,714.56, 514,345.72 and 202,949.88

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Solution

The fourth proportional to 372,714.56, 514,345.72 and 202,949.88 is: 280,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,714.56 : 514,345.72 = 202,949.88 : x
  2. Step 2: Convert to fraction form
    372,714.56/514,345.72 = 202,949.88/x
  3. Step 3: Cross multiply
    372,714.56x = 514,345.72 × 202,949.88
  4. Step 4: Simplify right side
    372,714.56x = 104,386,402,152.51
  5. Step 5: Solve for x
    x = 104,386,402,152.51/372,714.56
  6. Step 6: Final answer
    x = 280,070.63

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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.