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Finding the Fourth Proportional to 382,783.41, 528,264.40 and 213,017.53

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Solution

The fourth proportional to 382,783.41, 528,264.40 and 213,017.53 is: 293,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,783.41 : 528,264.40 = 213,017.53 : x
  2. Step 2: Convert to fraction form
    382,783.41/528,264.40 = 213,017.53/x
  3. Step 3: Cross multiply
    382,783.41x = 528,264.40 × 213,017.53
  4. Step 4: Simplify right side
    382,783.41x = 112,529,577,674.93
  5. Step 5: Solve for x
    x = 112,529,577,674.93/382,783.41
  6. Step 6: Final answer
    x = 293,977.15

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1.5x scale

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.