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Finding the Fourth Proportional to 284,461.47, 426,549.33 and 94,854.74

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Solution

The fourth proportional to 284,461.47, 426,549.33 and 94,854.74 is: 142,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,461.47 : 426,549.33 = 94,854.74 : x
  2. Step 2: Convert to fraction form
    284,461.47/426,549.33 = 94,854.74/x
  3. Step 3: Cross multiply
    284,461.47x = 426,549.33 × 94,854.74
  4. Step 4: Simplify right side
    284,461.47x = 40,460,223,661.58
  5. Step 5: Solve for x
    x = 40,460,223,661.58/284,461.47
  6. Step 6: Final answer
    x = 142,234.46

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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.