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Finding the Fourth Proportional to 315,714.65, 473,758.83 and 116,175.16

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Solution

The fourth proportional to 315,714.65, 473,758.83 and 116,175.16 is: 174,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,714.65 : 473,758.83 = 116,175.16 : x
  2. Step 2: Convert to fraction form
    315,714.65/473,758.83 = 116,175.16/x
  3. Step 3: Cross multiply
    315,714.65x = 473,758.83 × 116,175.16
  4. Step 4: Simplify right side
    315,714.65x = 55,039,007,235.34
  5. Step 5: Solve for x
    x = 55,039,007,235.34/315,714.65
  6. Step 6: Final answer
    x = 174,331.50

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1.5x scale

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.