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Finding the Fourth Proportional to 585,041.06, 877,594.41 and 164,284.13

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Solution

The fourth proportional to 585,041.06, 877,594.41 and 164,284.13 is: 246,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,041.06 : 877,594.41 = 164,284.13 : x
  2. Step 2: Convert to fraction form
    585,041.06/877,594.41 = 164,284.13/x
  3. Step 3: Cross multiply
    585,041.06x = 877,594.41 × 164,284.13
  4. Step 4: Simplify right side
    585,041.06x = 144,174,829,751.74
  5. Step 5: Solve for x
    x = 144,174,829,751.74/585,041.06
  6. Step 6: Final answer
    x = 246,435.41

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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.