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Finding the Fourth Proportional to 402,203.70, 603,305.55 and 260,486.10

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Solution

The fourth proportional to 402,203.70, 603,305.55 and 260,486.10 is: 390,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,203.70 : 603,305.55 = 260,486.10 : x
  2. Step 2: Convert to fraction form
    402,203.70/603,305.55 = 260,486.10/x
  3. Step 3: Cross multiply
    402,203.70x = 603,305.55 × 260,486.10
  4. Step 4: Simplify right side
    402,203.70x = 157,152,709,827.86
  5. Step 5: Solve for x
    x = 157,152,709,827.86/402,203.70
  6. Step 6: Final answer
    x = 390,729.15

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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.