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Finding the Fourth Proportional to 854,174, 1,178,657.79 and 472,148.84

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Solution

The fourth proportional to 854,174, 1,178,657.79 and 472,148.84 is: 651,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,174 : 1,178,657.79 = 472,148.84 : x
  2. Step 2: Convert to fraction form
    854,174/1,178,657.79 = 472,148.84/x
  3. Step 3: Cross multiply
    854,174x = 1,178,657.79 × 472,148.84
  4. Step 4: Simplify right side
    854,174x = 556,501,908,305.46
  5. Step 5: Solve for x
    x = 556,501,908,305.46/854,174
  6. Step 6: Final answer
    x = 651,508.84

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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.