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Finding the Fourth Proportional to 314,111.20, 471,166.80 and 251,903.20

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Solution

The fourth proportional to 314,111.20, 471,166.80 and 251,903.20 is: 377,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,111.20 : 471,166.80 = 251,903.20 : x
  2. Step 2: Convert to fraction form
    314,111.20/471,166.80 = 251,903.20/x
  3. Step 3: Cross multiply
    314,111.20x = 471,166.80 × 251,903.20
  4. Step 4: Simplify right side
    314,111.20x = 118,688,424,653.76
  5. Step 5: Solve for x
    x = 118,688,424,653.76/314,111.20
  6. Step 6: Final answer
    x = 377,854.80

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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.