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Finding the Fourth Proportional to 852,643.84, 1,176,648.72 and 470,670.88

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Solution

The fourth proportional to 852,643.84, 1,176,648.72 and 470,670.88 is: 649,525.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,643.84 : 1,176,648.72 = 470,670.88 : x
  2. Step 2: Convert to fraction form
    852,643.84/1,176,648.72 = 470,670.88/x
  3. Step 3: Cross multiply
    852,643.84x = 1,176,648.72 × 470,670.88
  4. Step 4: Simplify right side
    852,643.84x = 553,814,288,493.27
  5. Step 5: Solve for x
    x = 553,814,288,493.27/852,643.84
  6. Step 6: Final answer
    x = 649,525.94

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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.