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Finding the Fourth Proportional to 584,806.40, 876,043.20 and 407,513.60

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Solution

The fourth proportional to 584,806.40, 876,043.20 and 407,513.60 is: 610,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,806.40 : 876,043.20 = 407,513.60 : x
  2. Step 2: Convert to fraction form
    584,806.40/876,043.20 = 407,513.60/x
  3. Step 3: Cross multiply
    584,806.40x = 876,043.20 × 407,513.60
  4. Step 4: Simplify right side
    584,806.40x = 356,999,518,187.52
  5. Step 5: Solve for x
    x = 356,999,518,187.52/584,806.40
  6. Step 6: Final answer
    x = 610,457.61

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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.