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Finding the Fourth Proportional to 653,111.84, 980,030.64 and 353,588

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Solution

The fourth proportional to 653,111.84, 980,030.64 and 353,588 is: 530,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,111.84 : 980,030.64 = 353,588 : x
  2. Step 2: Convert to fraction form
    653,111.84/980,030.64 = 353,588/x
  3. Step 3: Cross multiply
    653,111.84x = 980,030.64 × 353,588
  4. Step 4: Simplify right side
    653,111.84x = 346,527,073,936.32
  5. Step 5: Solve for x
    x = 346,527,073,936.32/653,111.84
  6. Step 6: Final answer
    x = 530,578.46

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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.