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Finding the Fourth Proportional to 260,038.30, 390,057.45 and 215,715.10

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Solution

The fourth proportional to 260,038.30, 390,057.45 and 215,715.10 is: 323,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038.30 : 390,057.45 = 215,715.10 : x
  2. Step 2: Convert to fraction form
    260,038.30/390,057.45 = 215,715.10/x
  3. Step 3: Cross multiply
    260,038.30x = 390,057.45 × 215,715.10
  4. Step 4: Simplify right side
    260,038.30x = 84,141,281,832.50
  5. Step 5: Solve for x
    x = 84,141,281,832.50/260,038.30
  6. Step 6: Final answer
    x = 323,572.65

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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.