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Finding the Fourth Proportional to 827,856, 1,142,442.72 and 470,160

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Solution

The fourth proportional to 827,856, 1,142,442.72 and 470,160 is: 648,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,856 : 1,142,442.72 = 470,160 : x
  2. Step 2: Convert to fraction form
    827,856/1,142,442.72 = 470,160/x
  3. Step 3: Cross multiply
    827,856x = 1,142,442.72 × 470,160
  4. Step 4: Simplify right side
    827,856x = 537,130,869,235.20
  5. Step 5: Solve for x
    x = 537,130,869,235.20/827,856
  6. Step 6: Final answer
    x = 648,821.62

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