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Finding the Fourth Proportional to 382,803.98, 528,264.29 and 213,038.10

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Solution

The fourth proportional to 382,803.98, 528,264.29 and 213,038.10 is: 293,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,803.98 : 528,264.29 = 213,038.10 : x
  2. Step 2: Convert to fraction form
    382,803.98/528,264.29 = 213,038.10/x
  3. Step 3: Cross multiply
    382,803.98x = 528,264.29 × 213,038.10
  4. Step 4: Simplify right side
    382,803.98x = 112,540,421,172.04
  5. Step 5: Solve for x
    x = 112,540,421,172.04/382,803.98
  6. Step 6: Final answer
    x = 293,989.69

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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.