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Finding the Fourth Proportional to 517,723.50, 714,678.88 and 348,056.04

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Solution

The fourth proportional to 517,723.50, 714,678.88 and 348,056.04 is: 480,465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,723.50 : 714,678.88 = 348,056.04 : x
  2. Step 2: Convert to fraction form
    517,723.50/714,678.88 = 348,056.04/x
  3. Step 3: Cross multiply
    517,723.50x = 714,678.88 × 348,056.04
  4. Step 4: Simplify right side
    517,723.50x = 248,748,300,844.44
  5. Step 5: Solve for x
    x = 248,748,300,844.44/517,723.50
  6. Step 6: Final answer
    x = 480,465.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.