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Finding the Fourth Proportional to 284,602.82, 392,751.18 and 157,278.11

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Solution

The fourth proportional to 284,602.82, 392,751.18 and 157,278.11 is: 217,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,602.82 : 392,751.18 = 157,278.11 : x
  2. Step 2: Convert to fraction form
    284,602.82/392,751.18 = 157,278.11/x
  3. Step 3: Cross multiply
    284,602.82x = 392,751.18 × 157,278.11
  4. Step 4: Simplify right side
    284,602.82x = 61,771,161,326.91
  5. Step 5: Solve for x
    x = 61,771,161,326.91/284,602.82
  6. Step 6: Final answer
    x = 217,043.40

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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.