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Finding the Fourth Proportional to 586,894.16, 880,399.56 and 212,946.32

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Solution

The fourth proportional to 586,894.16, 880,399.56 and 212,946.32 is: 319,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,894.16 : 880,399.56 = 212,946.32 : x
  2. Step 2: Convert to fraction form
    586,894.16/880,399.56 = 212,946.32/x
  3. Step 3: Cross multiply
    586,894.16x = 880,399.56 × 212,946.32
  4. Step 4: Simplify right side
    586,894.16x = 187,477,846,431.62
  5. Step 5: Solve for x
    x = 187,477,846,431.62/586,894.16
  6. Step 6: Final answer
    x = 319,440.64

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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.