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Finding the Fourth Proportional to 538,916.23, 807,708.68 and 462,477.47

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Solution

The fourth proportional to 538,916.23, 807,708.68 and 462,477.47 is: 693,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,916.23 : 807,708.68 = 462,477.47 : x
  2. Step 2: Convert to fraction form
    538,916.23/807,708.68 = 462,477.47/x
  3. Step 3: Cross multiply
    538,916.23x = 807,708.68 × 462,477.47
  4. Step 4: Simplify right side
    538,916.23x = 373,547,064,511.05
  5. Step 5: Solve for x
    x = 373,547,064,511.05/538,916.23
  6. Step 6: Final answer
    x = 693,144.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.