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Finding the Fourth Proportional to 584,682.36, 877,054.49 and 185,354.28

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Solution

The fourth proportional to 584,682.36, 877,054.49 and 185,354.28 is: 278,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,682.36 : 877,054.49 = 185,354.28 : x
  2. Step 2: Convert to fraction form
    584,682.36/877,054.49 = 185,354.28/x
  3. Step 3: Cross multiply
    584,682.36x = 877,054.49 × 185,354.28
  4. Step 4: Simplify right side
    584,682.36x = 162,565,803,978.10
  5. Step 5: Solve for x
    x = 162,565,803,978.10/584,682.36
  6. Step 6: Final answer
    x = 278,041.23

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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.