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Finding the Fourth Proportional to 576,415.40, 864,623.10 and 202,438.40

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Solution

The fourth proportional to 576,415.40, 864,623.10 and 202,438.40 is: 303,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,415.40 : 864,623.10 = 202,438.40 : x
  2. Step 2: Convert to fraction form
    576,415.40/864,623.10 = 202,438.40/x
  3. Step 3: Cross multiply
    576,415.40x = 864,623.10 × 202,438.40
  4. Step 4: Simplify right side
    576,415.40x = 175,032,916,967.04
  5. Step 5: Solve for x
    x = 175,032,916,967.04/576,415.40
  6. Step 6: Final answer
    x = 303,657.60

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1.5x scale

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.