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Finding the Fourth Proportional to 382,875.68, 528,368.46 and 213,106.16

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Solution

The fourth proportional to 382,875.68, 528,368.46 and 213,106.16 is: 294,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,875.68 : 528,368.46 = 213,106.16 : x
  2. Step 2: Convert to fraction form
    382,875.68/528,368.46 = 213,106.16/x
  3. Step 3: Cross multiply
    382,875.68x = 528,368.46 × 213,106.16
  4. Step 4: Simplify right side
    382,875.68x = 112,598,573,575.71
  5. Step 5: Solve for x
    x = 112,598,573,575.71/382,875.68
  6. Step 6: Final answer
    x = 294,086.51

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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.