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Finding the Fourth Proportional to 315,065.55, 472,598.33 and 310,918.35

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Solution

The fourth proportional to 315,065.55, 472,598.33 and 310,918.35 is: 466,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,065.55 : 472,598.33 = 310,918.35 : x
  2. Step 2: Convert to fraction form
    315,065.55/472,598.33 = 310,918.35/x
  3. Step 3: Cross multiply
    315,065.55x = 472,598.33 × 310,918.35
  4. Step 4: Simplify right side
    315,065.55x = 146,939,491,421.76
  5. Step 5: Solve for x
    x = 146,939,491,421.76/315,065.55
  6. Step 6: Final answer
    x = 466,377.53

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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.