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Finding the Fourth Proportional to 312,714.52, 431,547.58 and 169,474.57

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Solution

The fourth proportional to 312,714.52, 431,547.58 and 169,474.57 is: 233,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,714.52 : 431,547.58 = 169,474.57 : x
  2. Step 2: Convert to fraction form
    312,714.52/431,547.58 = 169,474.57/x
  3. Step 3: Cross multiply
    312,714.52x = 431,547.58 × 169,474.57
  4. Step 4: Simplify right side
    312,714.52x = 73,136,340,555.04
  5. Step 5: Solve for x
    x = 73,136,340,555.04/312,714.52
  6. Step 6: Final answer
    x = 233,875.74

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1.5x scale

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.