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Finding the Fourth Proportional to 452,057.16, 678,085.72 and 352,291.98

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Solution

The fourth proportional to 452,057.16, 678,085.72 and 352,291.98 is: 528,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,057.16 : 678,085.72 = 352,291.98 : x
  2. Step 2: Convert to fraction form
    452,057.16/678,085.72 = 352,291.98/x
  3. Step 3: Cross multiply
    452,057.16x = 678,085.72 × 352,291.98
  4. Step 4: Simplify right side
    452,057.16x = 238,884,160,908.53
  5. Step 5: Solve for x
    x = 238,884,160,908.53/452,057.16
  6. Step 6: Final answer
    x = 528,437.95

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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.