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Finding the Fourth Proportional to 675,216, 1,011,699.50 and 475,116.01

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Solution

The fourth proportional to 675,216, 1,011,699.50 and 475,116.01 is: 711,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,216 : 1,011,699.50 = 475,116.01 : x
  2. Step 2: Convert to fraction form
    675,216/1,011,699.50 = 475,116.01/x
  3. Step 3: Cross multiply
    675,216x = 1,011,699.50 × 475,116.01
  4. Step 4: Simplify right side
    675,216x = 480,674,628,417.54
  5. Step 5: Solve for x
    x = 480,674,628,417.54/675,216
  6. Step 6: Final answer
    x = 711,882.76

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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.