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Finding the Fourth Proportional to 310,595.34, 465,903.42 and 85,936.98

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Solution

The fourth proportional to 310,595.34, 465,903.42 and 85,936.98 is: 128,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,595.34 : 465,903.42 = 85,936.98 : x
  2. Step 2: Convert to fraction form
    310,595.34/465,903.42 = 85,936.98/x
  3. Step 3: Cross multiply
    310,595.34x = 465,903.42 × 85,936.98
  4. Step 4: Simplify right side
    310,595.34x = 40,038,332,886.47
  5. Step 5: Solve for x
    x = 40,038,332,886.47/310,595.34
  6. Step 6: Final answer
    x = 128,908.35

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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.