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Finding the Fourth Proportional to 284,281.76, 392,308.57 and 156,958.13

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Solution

The fourth proportional to 284,281.76, 392,308.57 and 156,958.13 is: 216,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,281.76 : 392,308.57 = 156,958.13 : x
  2. Step 2: Convert to fraction form
    284,281.76/392,308.57 = 156,958.13/x
  3. Step 3: Cross multiply
    284,281.76x = 392,308.57 × 156,958.13
  4. Step 4: Simplify right side
    284,281.76x = 61,576,019,530.17
  5. Step 5: Solve for x
    x = 61,576,019,530.17/284,281.76
  6. Step 6: Final answer
    x = 216,602.08

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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.