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Finding the Fourth Proportional to 577,210.90, 864,832.20 and 476,827.60

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Solution

The fourth proportional to 577,210.90, 864,832.20 and 476,827.60 is: 714,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,210.90 : 864,832.20 = 476,827.60 : x
  2. Step 2: Convert to fraction form
    577,210.90/864,832.20 = 476,827.60/x
  3. Step 3: Cross multiply
    577,210.90x = 864,832.20 × 476,827.60
  4. Step 4: Simplify right side
    577,210.90x = 412,375,862,328.72
  5. Step 5: Solve for x
    x = 412,375,862,328.72/577,210.90
  6. Step 6: Final answer
    x = 714,428.40

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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.