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Finding the Fourth Proportional to 402,275.61, 603,662.60 and 233,875.20

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Solution

The fourth proportional to 402,275.61, 603,662.60 and 233,875.20 is: 350,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,275.61 : 603,662.60 = 233,875.20 : x
  2. Step 2: Convert to fraction form
    402,275.61/603,662.60 = 233,875.20/x
  3. Step 3: Cross multiply
    402,275.61x = 603,662.60 × 233,875.20
  4. Step 4: Simplify right side
    402,275.61x = 141,181,710,138.14
  5. Step 5: Solve for x
    x = 141,181,710,138.14/402,275.61
  6. Step 6: Final answer
    x = 350,957.67

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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.