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Finding the Fourth Proportional to 464,496.68, 696,675.18 and 148,911.08

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Solution

The fourth proportional to 464,496.68, 696,675.18 and 148,911.08 is: 223,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,496.68 : 696,675.18 = 148,911.08 : x
  2. Step 2: Convert to fraction form
    464,496.68/696,675.18 = 148,911.08/x
  3. Step 3: Cross multiply
    464,496.68x = 696,675.18 × 148,911.08
  4. Step 4: Simplify right side
    464,496.68x = 103,742,653,462.99
  5. Step 5: Solve for x
    x = 103,742,653,462.99/464,496.68
  6. Step 6: Final answer
    x = 223,344.23

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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.