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Finding the Fourth Proportional to 556,114.59, 767,408.30 and 314,382.75

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Solution

The fourth proportional to 556,114.59, 767,408.30 and 314,382.75 is: 433,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,114.59 : 767,408.30 = 314,382.75 : x
  2. Step 2: Convert to fraction form
    556,114.59/767,408.30 = 314,382.75/x
  3. Step 3: Cross multiply
    556,114.59x = 767,408.30 × 314,382.75
  4. Step 4: Simplify right side
    556,114.59x = 241,259,930,154.91
  5. Step 5: Solve for x
    x = 241,259,930,154.91/556,114.59
  6. Step 6: Final answer
    x = 433,831.33

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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.