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Finding the Fourth Proportional to 585,133.93, 877,733.70 and 164,377

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Solution

The fourth proportional to 585,133.93, 877,733.70 and 164,377 is: 246,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,133.93 : 877,733.70 = 164,377 : x
  2. Step 2: Convert to fraction form
    585,133.93/877,733.70 = 164,377/x
  3. Step 3: Cross multiply
    585,133.93x = 877,733.70 × 164,377
  4. Step 4: Simplify right side
    585,133.93x = 144,279,232,404.90
  5. Step 5: Solve for x
    x = 144,279,232,404.90/585,133.93
  6. Step 6: Final answer
    x = 246,574.72

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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.