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Finding the Fourth Proportional to 525,378.81, 787,924.65 and 188,356.85

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Solution

The fourth proportional to 525,378.81, 787,924.65 and 188,356.85 is: 282,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,378.81 : 787,924.65 = 188,356.85 : x
  2. Step 2: Convert to fraction form
    525,378.81/787,924.65 = 188,356.85/x
  3. Step 3: Cross multiply
    525,378.81x = 787,924.65 × 188,356.85
  4. Step 4: Simplify right side
    525,378.81x = 148,411,005,111.35
  5. Step 5: Solve for x
    x = 148,411,005,111.35/525,378.81
  6. Step 6: Final answer
    x = 282,483.80

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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.