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Finding the Fourth Proportional to 523,596.63, 785,201.14 and 186,547.93

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Solution

The fourth proportional to 523,596.63, 785,201.14 and 186,547.93 is: 279,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,596.63 : 785,201.14 = 186,547.93 : x
  2. Step 2: Convert to fraction form
    523,596.63/785,201.14 = 186,547.93/x
  3. Step 3: Cross multiply
    523,596.63x = 785,201.14 × 186,547.93
  4. Step 4: Simplify right side
    523,596.63x = 146,477,647,300.64
  5. Step 5: Solve for x
    x = 146,477,647,300.64/523,596.63
  6. Step 6: Final answer
    x = 279,752.85

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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.