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Finding the Fourth Proportional to 585,745.76, 808,329.84 and 317,473.76

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Solution

The fourth proportional to 585,745.76, 808,329.84 and 317,473.76 is: 438,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,745.76 : 808,329.84 = 317,473.76 : x
  2. Step 2: Convert to fraction form
    585,745.76/808,329.84 = 317,473.76/x
  3. Step 3: Cross multiply
    585,745.76x = 808,329.84 × 317,473.76
  4. Step 4: Simplify right side
    585,745.76x = 256,623,513,625.00
  5. Step 5: Solve for x
    x = 256,623,513,625.00/585,745.76
  6. Step 6: Final answer
    x = 438,114.16

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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.