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Finding the Fourth Proportional to 414,511.12, 572,069.64 and 253,460.56

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Solution

The fourth proportional to 414,511.12, 572,069.64 and 253,460.56 is: 349,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,511.12 : 572,069.64 = 253,460.56 : x
  2. Step 2: Convert to fraction form
    414,511.12/572,069.64 = 253,460.56/x
  3. Step 3: Cross multiply
    414,511.12x = 572,069.64 × 253,460.56
  4. Step 4: Simplify right side
    414,511.12x = 144,997,091,313.40
  5. Step 5: Solve for x
    x = 144,997,091,313.40/414,511.12
  6. Step 6: Final answer
    x = 349,802.66

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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.