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Finding the Fourth Proportional to 552,175.74, 828,282.15 and 152,783.10

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Solution

The fourth proportional to 552,175.74, 828,282.15 and 152,783.10 is: 229,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,175.74 : 828,282.15 = 152,783.10 : x
  2. Step 2: Convert to fraction form
    552,175.74/828,282.15 = 152,783.10/x
  3. Step 3: Cross multiply
    552,175.74x = 828,282.15 × 152,783.10
  4. Step 4: Simplify right side
    552,175.74x = 126,547,514,551.67
  5. Step 5: Solve for x
    x = 126,547,514,551.67/552,175.74
  6. Step 6: Final answer
    x = 229,179.78

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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.