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Finding the Fourth Proportional to 590,200.40, 883,988.40 and 456,647.60

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Solution

The fourth proportional to 590,200.40, 883,988.40 and 456,647.60 is: 683,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,200.40 : 883,988.40 = 456,647.60 : x
  2. Step 2: Convert to fraction form
    590,200.40/883,988.40 = 456,647.60/x
  3. Step 3: Cross multiply
    590,200.40x = 883,988.40 × 456,647.60
  4. Step 4: Simplify right side
    590,200.40x = 403,671,181,287.84
  5. Step 5: Solve for x
    x = 403,671,181,287.84/590,200.40
  6. Step 6: Final answer
    x = 683,956.13

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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.