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Finding the Fourth Proportional to 570,668, 856,000.02 and 171,307.16

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Solution

The fourth proportional to 570,668, 856,000.02 and 171,307.16 is: 256,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,668 : 856,000.02 = 171,307.16 : x
  2. Step 2: Convert to fraction form
    570,668/856,000.02 = 171,307.16/x
  3. Step 3: Cross multiply
    570,668x = 856,000.02 × 171,307.16
  4. Step 4: Simplify right side
    570,668x = 146,638,932,386.14
  5. Step 5: Solve for x
    x = 146,638,932,386.14/570,668
  6. Step 6: Final answer
    x = 256,960.15

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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.