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Finding the Fourth Proportional to 584,967.64, 877,447.40 and 164,243.92

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Solution

The fourth proportional to 584,967.64, 877,447.40 and 164,243.92 is: 246,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,967.64 : 877,447.40 = 164,243.92 : x
  2. Step 2: Convert to fraction form
    584,967.64/877,447.40 = 164,243.92/x
  3. Step 3: Cross multiply
    584,967.64x = 877,447.40 × 164,243.92
  4. Step 4: Simplify right side
    584,967.64x = 144,115,400,569.81
  5. Step 5: Solve for x
    x = 144,115,400,569.81/584,967.64
  6. Step 6: Final answer
    x = 246,364.74

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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.