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Finding the Fourth Proportional to 586,255.36, 879,446.76 and 186,802.24

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Solution

The fourth proportional to 586,255.36, 879,446.76 and 186,802.24 is: 280,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,255.36 : 879,446.76 = 186,802.24 : x
  2. Step 2: Convert to fraction form
    586,255.36/879,446.76 = 186,802.24/x
  3. Step 3: Cross multiply
    586,255.36x = 879,446.76 × 186,802.24
  4. Step 4: Simplify right side
    586,255.36x = 164,282,624,728.74
  5. Step 5: Solve for x
    x = 164,282,624,728.74/586,255.36
  6. Step 6: Final answer
    x = 280,223.66

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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.