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Finding the Fourth Proportional to 310,675.18, 466,018.47 and 97,438.33

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Solution

The fourth proportional to 310,675.18, 466,018.47 and 97,438.33 is: 146,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,675.18 : 466,018.47 = 97,438.33 : x
  2. Step 2: Convert to fraction form
    310,675.18/466,018.47 = 97,438.33/x
  3. Step 3: Cross multiply
    310,675.18x = 466,018.47 × 97,438.33
  4. Step 4: Simplify right side
    310,675.18x = 45,408,061,465.96
  5. Step 5: Solve for x
    x = 45,408,061,465.96/310,675.18
  6. Step 6: Final answer
    x = 146,159.28

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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.