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Finding the Fourth Proportional to 447,368.96, 617,386.20 and 256,419.20

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Solution

The fourth proportional to 447,368.96, 617,386.20 and 256,419.20 is: 353,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,368.96 : 617,386.20 = 256,419.20 : x
  2. Step 2: Convert to fraction form
    447,368.96/617,386.20 = 256,419.20/x
  3. Step 3: Cross multiply
    447,368.96x = 617,386.20 × 256,419.20
  4. Step 4: Simplify right side
    447,368.96x = 158,309,675,495.04
  5. Step 5: Solve for x
    x = 158,309,675,495.04/447,368.96
  6. Step 6: Final answer
    x = 353,868.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.