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Finding the Fourth Proportional to 304,613.80, 456,870.30 and 102,207.40

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Solution

The fourth proportional to 304,613.80, 456,870.30 and 102,207.40 is: 153,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,613.80 : 456,870.30 = 102,207.40 : x
  2. Step 2: Convert to fraction form
    304,613.80/456,870.30 = 102,207.40/x
  3. Step 3: Cross multiply
    304,613.80x = 456,870.30 × 102,207.40
  4. Step 4: Simplify right side
    304,613.80x = 46,695,525,500.22
  5. Step 5: Solve for x
    x = 46,695,525,500.22/304,613.80
  6. Step 6: Final answer
    x = 153,294.19

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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.