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Finding the Fourth Proportional to 314,853.80, 472,280.70 and 301,731.80

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Solution

The fourth proportional to 314,853.80, 472,280.70 and 301,731.80 is: 452,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,853.80 : 472,280.70 = 301,731.80 : x
  2. Step 2: Convert to fraction form
    314,853.80/472,280.70 = 301,731.80/x
  3. Step 3: Cross multiply
    314,853.80x = 472,280.70 × 301,731.80
  4. Step 4: Simplify right side
    314,853.80x = 142,502,105,716.26
  5. Step 5: Solve for x
    x = 142,502,105,716.26/314,853.80
  6. Step 6: Final answer
    x = 452,597.70

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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.