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Finding the Fourth Proportional to 314,535.40, 471,803.10 and 167,079.40

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Solution

The fourth proportional to 314,535.40, 471,803.10 and 167,079.40 is: 250,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,535.40 : 471,803.10 = 167,079.40 : x
  2. Step 2: Convert to fraction form
    314,535.40/471,803.10 = 167,079.40/x
  3. Step 3: Cross multiply
    314,535.40x = 471,803.10 × 167,079.40
  4. Step 4: Simplify right side
    314,535.40x = 78,828,578,866.14
  5. Step 5: Solve for x
    x = 78,828,578,866.14/314,535.40
  6. Step 6: Final answer
    x = 250,619.10

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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.