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Finding the Fourth Proportional to 585,134.48, 877,176.24 and 211,070

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Solution

The fourth proportional to 585,134.48, 877,176.24 and 211,070 is: 316,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,134.48 : 877,176.24 = 211,070 : x
  2. Step 2: Convert to fraction form
    585,134.48/877,176.24 = 211,070/x
  3. Step 3: Cross multiply
    585,134.48x = 877,176.24 × 211,070
  4. Step 4: Simplify right side
    585,134.48x = 185,145,588,976.80
  5. Step 5: Solve for x
    x = 185,145,588,976.80/585,134.48
  6. Step 6: Final answer
    x = 316,415.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.