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Finding the Fourth Proportional to 310,713.18, 465,746.58 and 210,881.52

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Solution

The fourth proportional to 310,713.18, 465,746.58 and 210,881.52 is: 316,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,713.18 : 465,746.58 = 210,881.52 : x
  2. Step 2: Convert to fraction form
    310,713.18/465,746.58 = 210,881.52/x
  3. Step 3: Cross multiply
    310,713.18x = 465,746.58 × 210,881.52
  4. Step 4: Simplify right side
    310,713.18x = 98,217,346,725.20
  5. Step 5: Solve for x
    x = 98,217,346,725.20/310,713.18
  6. Step 6: Final answer
    x = 316,102.93

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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.