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Finding the Fourth Proportional to 584,807.76, 807,168 and 380,498.22

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Solution

The fourth proportional to 584,807.76, 807,168 and 380,498.22 is: 525,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,807.76 : 807,168 = 380,498.22 : x
  2. Step 2: Convert to fraction form
    584,807.76/807,168 = 380,498.22/x
  3. Step 3: Cross multiply
    584,807.76x = 807,168 × 380,498.22
  4. Step 4: Simplify right side
    584,807.76x = 307,125,987,240.96
  5. Step 5: Solve for x
    x = 307,125,987,240.96/584,807.76
  6. Step 6: Final answer
    x = 525,174.27

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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.