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Finding the Fourth Proportional to 310,256.13, 464,953.64 and 141,363.70

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Solution

The fourth proportional to 310,256.13, 464,953.64 and 141,363.70 is: 211,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,256.13 : 464,953.64 = 141,363.70 : x
  2. Step 2: Convert to fraction form
    310,256.13/464,953.64 = 141,363.70/x
  3. Step 3: Cross multiply
    310,256.13x = 464,953.64 × 141,363.70
  4. Step 4: Simplify right side
    310,256.13x = 65,727,565,009.67
  5. Step 5: Solve for x
    x = 65,727,565,009.67/310,256.13
  6. Step 6: Final answer
    x = 211,849.37

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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.