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Finding the Fourth Proportional to 585,209.64, 877,814.30 and 164,485.46

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Solution

The fourth proportional to 585,209.64, 877,814.30 and 164,485.46 is: 246,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,209.64 : 877,814.30 = 164,485.46 : x
  2. Step 2: Convert to fraction form
    585,209.64/877,814.30 = 164,485.46/x
  3. Step 3: Cross multiply
    585,209.64x = 877,814.30 × 164,485.46
  4. Step 4: Simplify right side
    585,209.64x = 144,387,688,930.08
  5. Step 5: Solve for x
    x = 144,387,688,930.08/585,209.64
  6. Step 6: Final answer
    x = 246,728.15

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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.