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Finding the Fourth Proportional to 346,261.96, 519,411.84 and 109,586.98

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Solution

The fourth proportional to 346,261.96, 519,411.84 and 109,586.98 is: 164,386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,261.96 : 519,411.84 = 109,586.98 : x
  2. Step 2: Convert to fraction form
    346,261.96/519,411.84 = 109,586.98/x
  3. Step 3: Cross multiply
    346,261.96x = 519,411.84 × 109,586.98
  4. Step 4: Simplify right side
    346,261.96x = 56,920,774,921.84
  5. Step 5: Solve for x
    x = 56,920,774,921.84/346,261.96
  6. Step 6: Final answer
    x = 164,386.45

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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.