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Finding the Fourth Proportional to 292,009.50, 402,973.20 and 157,873.50

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Solution

The fourth proportional to 292,009.50, 402,973.20 and 157,873.50 is: 217,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,009.50 : 402,973.20 = 157,873.50 : x
  2. Step 2: Convert to fraction form
    292,009.50/402,973.20 = 157,873.50/x
  3. Step 3: Cross multiply
    292,009.50x = 402,973.20 × 157,873.50
  4. Step 4: Simplify right side
    292,009.50x = 63,618,789,490.20
  5. Step 5: Solve for x
    x = 63,618,789,490.20/292,009.50
  6. Step 6: Final answer
    x = 217,865.48

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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.