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Finding the Fourth Proportional to 410,167.69, 615,525.01 and 157,656.67

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Solution

The fourth proportional to 410,167.69, 615,525.01 and 157,656.67 is: 236,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,167.69 : 615,525.01 = 157,656.67 : x
  2. Step 2: Convert to fraction form
    410,167.69/615,525.01 = 157,656.67/x
  3. Step 3: Cross multiply
    410,167.69x = 615,525.01 × 157,656.67
  4. Step 4: Simplify right side
    410,167.69x = 97,041,621,445.36
  5. Step 5: Solve for x
    x = 97,041,621,445.36/410,167.69
  6. Step 6: Final answer
    x = 236,590.12

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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.