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Finding the Fourth Proportional to 585,041.81, 877,595.54 and 164,284.88

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Solution

The fourth proportional to 585,041.81, 877,595.54 and 164,284.88 is: 246,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,041.81 : 877,595.54 = 164,284.88 : x
  2. Step 2: Convert to fraction form
    585,041.81/877,595.54 = 164,284.88/x
  3. Step 3: Cross multiply
    585,041.81x = 877,595.54 × 164,284.88
  4. Step 4: Simplify right side
    585,041.81x = 144,175,677,156.01
  5. Step 5: Solve for x
    x = 144,175,677,156.01/585,041.81
  6. Step 6: Final answer
    x = 246,436.54

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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.