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Finding the Fourth Proportional to 517,719.24, 714,673.00 and 348,051.78

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Solution

The fourth proportional to 517,719.24, 714,673.00 and 348,051.78 is: 480,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,719.24 : 714,673.00 = 348,051.78 : x
  2. Step 2: Convert to fraction form
    517,719.24/714,673.00 = 348,051.78/x
  3. Step 3: Cross multiply
    517,719.24x = 714,673.00 × 348,051.78
  4. Step 4: Simplify right side
    517,719.24x = 248,743,208,897.81
  5. Step 5: Solve for x
    x = 248,743,208,897.81/517,719.24
  6. Step 6: Final answer
    x = 480,459.66

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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.