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Finding the Fourth Proportional to 260,570.52, 390,923.15 and 152,591.07

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Solution

The fourth proportional to 260,570.52, 390,923.15 and 152,591.07 is: 228,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,570.52 : 390,923.15 = 152,591.07 : x
  2. Step 2: Convert to fraction form
    260,570.52/390,923.15 = 152,591.07/x
  3. Step 3: Cross multiply
    260,570.52x = 390,923.15 × 152,591.07
  4. Step 4: Simplify right side
    260,570.52x = 59,651,381,746.27
  5. Step 5: Solve for x
    x = 59,651,381,746.27/260,570.52
  6. Step 6: Final answer
    x = 228,926.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.