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Finding the Fourth Proportional to 292,051.20, 409,977.60 and 292,051.20

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Solution

The fourth proportional to 292,051.20, 409,977.60 and 292,051.20 is: 409,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,051.20 : 409,977.60 = 292,051.20 : x
  2. Step 2: Convert to fraction form
    292,051.20/409,977.60 = 292,051.20/x
  3. Step 3: Cross multiply
    292,051.20x = 409,977.60 × 292,051.20
  4. Step 4: Simplify right side
    292,051.20x = 119,734,450,053.12
  5. Step 5: Solve for x
    x = 119,734,450,053.12/292,051.20
  6. Step 6: Final answer
    x = 409,977.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.