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Finding the Fourth Proportional to 852,714.83, 1,176,744.06 and 470,738.88

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Solution

The fourth proportional to 852,714.83, 1,176,744.06 and 470,738.88 is: 649,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,714.83 : 1,176,744.06 = 470,738.88 : x
  2. Step 2: Convert to fraction form
    852,714.83/1,176,744.06 = 470,738.88/x
  3. Step 3: Cross multiply
    852,714.83x = 1,176,744.06 × 470,738.88
  4. Step 4: Simplify right side
    852,714.83x = 553,939,172,613.64
  5. Step 5: Solve for x
    x = 553,939,172,613.64/852,714.83
  6. Step 6: Final answer
    x = 649,618.32

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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.