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Finding the Fourth Proportional to 524,870.51, 724,071.84 and 309,866.54

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Solution

The fourth proportional to 524,870.51, 724,071.84 and 309,866.54 is: 427,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,870.51 : 724,071.84 = 309,866.54 : x
  2. Step 2: Convert to fraction form
    524,870.51/724,071.84 = 309,866.54/x
  3. Step 3: Cross multiply
    524,870.51x = 724,071.84 × 309,866.54
  4. Step 4: Simplify right side
    524,870.51x = 224,365,635,772.23
  5. Step 5: Solve for x
    x = 224,365,635,772.23/524,870.51
  6. Step 6: Final answer
    x = 427,468.55

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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.