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Finding the Fourth Proportional to 584,864.94, 877,328.40 and 164,173.62

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Solution

The fourth proportional to 584,864.94, 877,328.40 and 164,173.62 is: 246,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,864.94 : 877,328.40 = 164,173.62 : x
  2. Step 2: Convert to fraction form
    584,864.94/877,328.40 = 164,173.62/x
  3. Step 3: Cross multiply
    584,864.94x = 877,328.40 × 164,173.62
  4. Step 4: Simplify right side
    584,864.94x = 144,034,179,356.81
  5. Step 5: Solve for x
    x = 144,034,179,356.81/584,864.94
  6. Step 6: Final answer
    x = 246,269.13

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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.