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Finding the Fourth Proportional to 280,152.54, 386,609.70 and 152,827.23

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Solution

The fourth proportional to 280,152.54, 386,609.70 and 152,827.23 is: 210,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152.54 : 386,609.70 = 152,827.23 : x
  2. Step 2: Convert to fraction form
    280,152.54/386,609.70 = 152,827.23/x
  3. Step 3: Cross multiply
    280,152.54x = 386,609.70 × 152,827.23
  4. Step 4: Simplify right side
    280,152.54x = 59,084,489,542.13
  5. Step 5: Solve for x
    x = 59,084,489,542.13/280,152.54
  6. Step 6: Final answer
    x = 210,901.14

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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.