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Finding the Fourth Proportional to 390,049.68, 538,264.80 and 220,280.16

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Solution

The fourth proportional to 390,049.68, 538,264.80 and 220,280.16 is: 303,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,049.68 : 538,264.80 = 220,280.16 : x
  2. Step 2: Convert to fraction form
    390,049.68/538,264.80 = 220,280.16/x
  3. Step 3: Cross multiply
    390,049.68x = 538,264.80 × 220,280.16
  4. Step 4: Simplify right side
    390,049.68x = 118,569,056,266.37
  5. Step 5: Solve for x
    x = 118,569,056,266.37/390,049.68
  6. Step 6: Final answer
    x = 303,984.50

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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.