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Finding the Fourth Proportional to 590,416.40, 884,312.40 and 456,863.60

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Solution

The fourth proportional to 590,416.40, 884,312.40 and 456,863.60 is: 684,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,416.40 : 884,312.40 = 456,863.60 : x
  2. Step 2: Convert to fraction form
    590,416.40/884,312.40 = 456,863.60/x
  3. Step 3: Cross multiply
    590,416.40x = 884,312.40 × 456,863.60
  4. Step 4: Simplify right side
    590,416.40x = 404,010,146,588.64
  5. Step 5: Solve for x
    x = 404,010,146,588.64/590,416.40
  6. Step 6: Final answer
    x = 684,280.02

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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.