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Finding the Fourth Proportional to 295,648.94, 443,484.84 and 103,486.16

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Solution

The fourth proportional to 295,648.94, 443,484.84 and 103,486.16 is: 155,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,648.94 : 443,484.84 = 103,486.16 : x
  2. Step 2: Convert to fraction form
    295,648.94/443,484.84 = 103,486.16/x
  3. Step 3: Cross multiply
    295,648.94x = 443,484.84 × 103,486.16
  4. Step 4: Simplify right side
    295,648.94x = 45,894,543,109.81
  5. Step 5: Solve for x
    x = 45,894,543,109.81/295,648.94
  6. Step 6: Final answer
    x = 155,233.24

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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.