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Finding the Fourth Proportional to 585,038.80, 877,558.20 and 382,085.20

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Solution

The fourth proportional to 585,038.80, 877,558.20 and 382,085.20 is: 573,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,038.80 : 877,558.20 = 382,085.20 : x
  2. Step 2: Convert to fraction form
    585,038.80/877,558.20 = 382,085.20/x
  3. Step 3: Cross multiply
    585,038.80x = 877,558.20 × 382,085.20
  4. Step 4: Simplify right side
    585,038.80x = 335,302,000,358.64
  5. Step 5: Solve for x
    x = 335,302,000,358.64/585,038.80
  6. Step 6: Final answer
    x = 573,127.80

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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.