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Finding the Fourth Proportional to 342,764.06, 473,014.10 and 189,802.24

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Solution

The fourth proportional to 342,764.06, 473,014.10 and 189,802.24 is: 261,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,764.06 : 473,014.10 = 189,802.24 : x
  2. Step 2: Convert to fraction form
    342,764.06/473,014.10 = 189,802.24/x
  3. Step 3: Cross multiply
    342,764.06x = 473,014.10 × 189,802.24
  4. Step 4: Simplify right side
    342,764.06x = 89,779,133,600.04
  5. Step 5: Solve for x
    x = 89,779,133,600.04/342,764.06
  6. Step 6: Final answer
    x = 261,926.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.