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Finding the Fourth Proportional to 562,494.98, 843,567.48 and 188,430.50

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Solution

The fourth proportional to 562,494.98, 843,567.48 and 188,430.50 is: 282,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,494.98 : 843,567.48 = 188,430.50 : x
  2. Step 2: Convert to fraction form
    562,494.98/843,567.48 = 188,430.50/x
  3. Step 3: Cross multiply
    562,494.98x = 843,567.48 × 188,430.50
  4. Step 4: Simplify right side
    562,494.98x = 158,953,844,149.06
  5. Step 5: Solve for x
    x = 158,953,844,149.06/562,494.98
  6. Step 6: Final answer
    x = 282,587.13

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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.