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Finding the Fourth Proportional to 317,409.66, 438,053.04 and 174,197.34

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Solution

The fourth proportional to 317,409.66, 438,053.04 and 174,197.34 is: 240,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,409.66 : 438,053.04 = 174,197.34 : x
  2. Step 2: Convert to fraction form
    317,409.66/438,053.04 = 174,197.34/x
  3. Step 3: Cross multiply
    317,409.66x = 438,053.04 × 174,197.34
  4. Step 4: Simplify right side
    317,409.66x = 76,307,674,346.91
  5. Step 5: Solve for x
    x = 76,307,674,346.91/317,409.66
  6. Step 6: Final answer
    x = 240,407.54

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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.