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Finding the Fourth Proportional to 585,014.50, 877,521.76 and 141,782.50

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Solution

The fourth proportional to 585,014.50, 877,521.76 and 141,782.50 is: 212,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,014.50 : 877,521.76 = 141,782.50 : x
  2. Step 2: Convert to fraction form
    585,014.50/877,521.76 = 141,782.50/x
  3. Step 3: Cross multiply
    585,014.50x = 877,521.76 × 141,782.50
  4. Step 4: Simplify right side
    585,014.50x = 124,417,228,937.20
  5. Step 5: Solve for x
    x = 124,417,228,937.20/585,014.50
  6. Step 6: Final answer
    x = 212,673.75

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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.