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Finding the Fourth Proportional to 586,870.40, 880,086.90 and 408,848.60

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Solution

The fourth proportional to 586,870.40, 880,086.90 and 408,848.60 is: 613,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,870.40 : 880,086.90 = 408,848.60 : x
  2. Step 2: Convert to fraction form
    586,870.40/880,086.90 = 408,848.60/x
  3. Step 3: Cross multiply
    586,870.40x = 880,086.90 × 408,848.60
  4. Step 4: Simplify right side
    586,870.40x = 359,822,296,943.34
  5. Step 5: Solve for x
    x = 359,822,296,943.34/586,870.40
  6. Step 6: Final answer
    x = 613,120.54

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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.