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Finding the Fourth Proportional to 524,185.41, 785,702.76 and 299,054.88

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Solution

The fourth proportional to 524,185.41, 785,702.76 and 299,054.88 is: 448,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,185.41 : 785,702.76 = 299,054.88 : x
  2. Step 2: Convert to fraction form
    524,185.41/785,702.76 = 299,054.88/x
  3. Step 3: Cross multiply
    524,185.41x = 785,702.76 × 299,054.88
  4. Step 4: Simplify right side
    524,185.41x = 234,968,244,607.47
  5. Step 5: Solve for x
    x = 234,968,244,607.47/524,185.41
  6. Step 6: Final answer
    x = 448,254.07

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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.