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Finding the Fourth Proportional to 854,172, 1,178,655.03 and 472,146.84

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Solution

The fourth proportional to 854,172, 1,178,655.03 and 472,146.84 is: 651,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,172 : 1,178,655.03 = 472,146.84 : x
  2. Step 2: Convert to fraction form
    854,172/1,178,655.03 = 472,146.84/x
  3. Step 3: Cross multiply
    854,172x = 1,178,655.03 × 472,146.84
  4. Step 4: Simplify right side
    854,172x = 556,498,247,864.61
  5. Step 5: Solve for x
    x = 556,498,247,864.61/854,172
  6. Step 6: Final answer
    x = 651,506.08

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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.