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Finding the Fourth Proportional to 586,880.16, 880,378.56 and 212,932.32

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Solution

The fourth proportional to 586,880.16, 880,378.56 and 212,932.32 is: 319,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,880.16 : 880,378.56 = 212,932.32 : x
  2. Step 2: Convert to fraction form
    586,880.16/880,378.56 = 212,932.32/x
  3. Step 3: Cross multiply
    586,880.16x = 880,378.56 × 212,932.32
  4. Step 4: Simplify right side
    586,880.16x = 187,461,049,259.06
  5. Step 5: Solve for x
    x = 187,461,049,259.06/586,880.16
  6. Step 6: Final answer
    x = 319,419.64

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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.