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Finding the Fourth Proportional to 515,722.32, 711,686.16 and 286,266.24

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Solution

The fourth proportional to 515,722.32, 711,686.16 and 286,266.24 is: 395,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,722.32 : 711,686.16 = 286,266.24 : x
  2. Step 2: Convert to fraction form
    515,722.32/711,686.16 = 286,266.24/x
  3. Step 3: Cross multiply
    515,722.32x = 711,686.16 × 286,266.24
  4. Step 4: Simplify right side
    515,722.32x = 203,731,721,083.24
  5. Step 5: Solve for x
    x = 203,731,721,083.24/515,722.32
  6. Step 6: Final answer
    x = 395,041.50

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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.