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Finding the Fourth Proportional to 318,673.68, 477,931.16 and 97,054.48

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Solution

The fourth proportional to 318,673.68, 477,931.16 and 97,054.48 is: 145,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,673.68 : 477,931.16 = 97,054.48 : x
  2. Step 2: Convert to fraction form
    318,673.68/477,931.16 = 97,054.48/x
  3. Step 3: Cross multiply
    318,673.68x = 477,931.16 × 97,054.48
  4. Step 4: Simplify right side
    318,673.68x = 46,385,360,209.60
  5. Step 5: Solve for x
    x = 46,385,360,209.60/318,673.68
  6. Step 6: Final answer
    x = 145,557.55

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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.