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Finding the Fourth Proportional to 701,547.78, 967,490.10 and 459,742.53

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Solution

The fourth proportional to 701,547.78, 967,490.10 and 459,742.53 is: 634,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,547.78 : 967,490.10 = 459,742.53 : x
  2. Step 2: Convert to fraction form
    701,547.78/967,490.10 = 459,742.53/x
  3. Step 3: Cross multiply
    701,547.78x = 967,490.10 × 459,742.53
  4. Step 4: Simplify right side
    701,547.78x = 444,796,346,323.95
  5. Step 5: Solve for x
    x = 444,796,346,323.95/701,547.78
  6. Step 6: Final answer
    x = 634,021.46

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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.