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Finding the Fourth Proportional to 343,018.64, 514,582.50 and 106,312.34

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Solution

The fourth proportional to 343,018.64, 514,582.50 and 106,312.34 is: 159,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,018.64 : 514,582.50 = 106,312.34 : x
  2. Step 2: Convert to fraction form
    343,018.64/514,582.50 = 106,312.34/x
  3. Step 3: Cross multiply
    343,018.64x = 514,582.50 × 106,312.34
  4. Step 4: Simplify right side
    343,018.64x = 54,706,467,125.14
  5. Step 5: Solve for x
    x = 54,706,467,125.14/343,018.64
  6. Step 6: Final answer
    x = 159,485.41

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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.