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Finding the Fourth Proportional to 301,641.86, 416,407.49 and 174,292.82

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Solution

The fourth proportional to 301,641.86, 416,407.49 and 174,292.82 is: 240,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,641.86 : 416,407.49 = 174,292.82 : x
  2. Step 2: Convert to fraction form
    301,641.86/416,407.49 = 174,292.82/x
  3. Step 3: Cross multiply
    301,641.86x = 416,407.49 × 174,292.82
  4. Step 4: Simplify right side
    301,641.86x = 72,576,835,701.22
  5. Step 5: Solve for x
    x = 72,576,835,701.22/301,641.86
  6. Step 6: Final answer
    x = 240,605.98

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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.