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Finding the Fourth Proportional to 314,223.72, 471,368.38 and 100,937.80

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Solution

The fourth proportional to 314,223.72, 471,368.38 and 100,937.80 is: 151,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,223.72 : 471,368.38 = 100,937.80 : x
  2. Step 2: Convert to fraction form
    314,223.72/471,368.38 = 100,937.80/x
  3. Step 3: Cross multiply
    314,223.72x = 471,368.38 × 100,937.80
  4. Step 4: Simplify right side
    314,223.72x = 47,578,887,266.76
  5. Step 5: Solve for x
    x = 47,578,887,266.76/314,223.72
  6. Step 6: Final answer
    x = 151,417.24

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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.