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Finding the Fourth Proportional to 277,547.54, 416,347.44 and 77,867.15

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Solution

The fourth proportional to 277,547.54, 416,347.44 and 77,867.15 is: 116,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,547.54 : 416,347.44 = 77,867.15 : x
  2. Step 2: Convert to fraction form
    277,547.54/416,347.44 = 77,867.15/x
  3. Step 3: Cross multiply
    277,547.54x = 416,347.44 × 77,867.15
  4. Step 4: Simplify right side
    277,547.54x = 32,419,788,562.60
  5. Step 5: Solve for x
    x = 32,419,788,562.60/277,547.54
  6. Step 6: Final answer
    x = 116,808.06

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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.