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Finding the Fourth Proportional to 418,813.61, 577,962.34 and 227,826.54

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Solution

The fourth proportional to 418,813.61, 577,962.34 and 227,826.54 is: 314,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,813.61 : 577,962.34 = 227,826.54 : x
  2. Step 2: Convert to fraction form
    418,813.61/577,962.34 = 227,826.54/x
  3. Step 3: Cross multiply
    418,813.61x = 577,962.34 × 227,826.54
  4. Step 4: Simplify right side
    418,813.61x = 131,675,159,602.94
  5. Step 5: Solve for x
    x = 131,675,159,602.94/418,813.61
  6. Step 6: Final answer
    x = 314,400.39

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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.