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Finding the Fourth Proportional to 852,633, 1,176,610.86 and 470,651.58

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Solution

The fourth proportional to 852,633, 1,176,610.86 and 470,651.58 is: 649,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,633 : 1,176,610.86 = 470,651.58 : x
  2. Step 2: Convert to fraction form
    852,633/1,176,610.86 = 470,651.58/x
  3. Step 3: Cross multiply
    852,633x = 1,176,610.86 × 470,651.58
  4. Step 4: Simplify right side
    852,633x = 553,773,760,304.16
  5. Step 5: Solve for x
    x = 553,773,760,304.16/852,633
  6. Step 6: Final answer
    x = 649,486.66

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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.