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Finding the Fourth Proportional to 306,713.40, 460,070.10 and 173,853.15

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Solution

The fourth proportional to 306,713.40, 460,070.10 and 173,853.15 is: 260,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,713.40 : 460,070.10 = 173,853.15 : x
  2. Step 2: Convert to fraction form
    306,713.40/460,070.10 = 173,853.15/x
  3. Step 3: Cross multiply
    306,713.40x = 460,070.10 × 173,853.15
  4. Step 4: Simplify right side
    306,713.40x = 79,984,636,105.82
  5. Step 5: Solve for x
    x = 79,984,636,105.82/306,713.40
  6. Step 6: Final answer
    x = 260,779.73

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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.