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Finding the Fourth Proportional to 584,696.32, 807,655.30 and 470,405.52

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Solution

The fourth proportional to 584,696.32, 807,655.30 and 470,405.52 is: 649,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,696.32 : 807,655.30 = 470,405.52 : x
  2. Step 2: Convert to fraction form
    584,696.32/807,655.30 = 470,405.52/x
  3. Step 3: Cross multiply
    584,696.32x = 807,655.30 × 470,405.52
  4. Step 4: Simplify right side
    584,696.32x = 379,925,510,201.24
  5. Step 5: Solve for x
    x = 379,925,510,201.24/584,696.32
  6. Step 6: Final answer
    x = 649,782.63

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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.