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Finding the Fourth Proportional to 346,402.32, 519,623.64 and 97,103.76

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Solution

The fourth proportional to 346,402.32, 519,623.64 and 97,103.76 is: 145,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,402.32 : 519,623.64 = 97,103.76 : x
  2. Step 2: Convert to fraction form
    346,402.32/519,623.64 = 97,103.76/x
  3. Step 3: Cross multiply
    346,402.32x = 519,623.64 × 97,103.76
  4. Step 4: Simplify right side
    346,402.32x = 50,457,409,228.89
  5. Step 5: Solve for x
    x = 50,457,409,228.89/346,402.32
  6. Step 6: Final answer
    x = 145,661.29

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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.