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Finding the Fourth Proportional to 307,657.80, 461,486.70 and 97,312.20

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Solution

The fourth proportional to 307,657.80, 461,486.70 and 97,312.20 is: 145,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,657.80 : 461,486.70 = 97,312.20 : x
  2. Step 2: Convert to fraction form
    307,657.80/461,486.70 = 97,312.20/x
  3. Step 3: Cross multiply
    307,657.80x = 461,486.70 × 97,312.20
  4. Step 4: Simplify right side
    307,657.80x = 44,908,286,047.74
  5. Step 5: Solve for x
    x = 44,908,286,047.74/307,657.80
  6. Step 6: Final answer
    x = 145,968.30

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Similar ratio
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1.5x scale

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.