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Finding the Fourth Proportional to 585,054, 877,581 and 141,822

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Solution

The fourth proportional to 585,054, 877,581 and 141,822 is: 212,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,054 : 877,581 = 141,822 : x
  2. Step 2: Convert to fraction form
    585,054/877,581 = 141,822/x
  3. Step 3: Cross multiply
    585,054x = 877,581 × 141,822
  4. Step 4: Simplify right side
    585,054x = 124,460,292,582
  5. Step 5: Solve for x
    x = 124,460,292,582/585,054
  6. Step 6: Final answer
    x = 212,733

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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.