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Finding the Fourth Proportional to 316,106.16, 473,483.60 and 255,874.56

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Solution

The fourth proportional to 316,106.16, 473,483.60 and 255,874.56 is: 383,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,106.16 : 473,483.60 = 255,874.56 : x
  2. Step 2: Convert to fraction form
    316,106.16/473,483.60 = 255,874.56/x
  3. Step 3: Cross multiply
    316,106.16x = 473,483.60 × 255,874.56
  4. Step 4: Simplify right side
    316,106.16x = 121,152,407,817.22
  5. Step 5: Solve for x
    x = 121,152,407,817.22/316,106.16
  6. Step 6: Final answer
    x = 383,264.94

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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.