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Finding the Fourth Proportional to 418,573.48, 577,628.38 and 227,587

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Solution

The fourth proportional to 418,573.48, 577,628.38 and 227,587 is: 314,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,573.48 : 577,628.38 = 227,587 : x
  2. Step 2: Convert to fraction form
    418,573.48/577,628.38 = 227,587/x
  3. Step 3: Cross multiply
    418,573.48x = 577,628.38 × 227,587
  4. Step 4: Simplify right side
    418,573.48x = 131,460,710,119.06
  5. Step 5: Solve for x
    x = 131,460,710,119.06/418,573.48
  6. Step 6: Final answer
    x = 314,068.42

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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.