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Finding the Fourth Proportional to 589,750.40, 883,313.40 and 456,197.60

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Solution

The fourth proportional to 589,750.40, 883,313.40 and 456,197.60 is: 683,281.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,750.40 : 883,313.40 = 456,197.60 : x
  2. Step 2: Convert to fraction form
    589,750.40/883,313.40 = 456,197.60/x
  3. Step 3: Cross multiply
    589,750.40x = 883,313.40 × 456,197.60
  4. Step 4: Simplify right side
    589,750.40x = 402,965,453,127.84
  5. Step 5: Solve for x
    x = 402,965,453,127.84/589,750.40
  6. Step 6: Final answer
    x = 683,281.36

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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.