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Finding the Fourth Proportional to 525,496.50, 725,303.30 and 344,103.08

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Solution

The fourth proportional to 525,496.50, 725,303.30 and 344,103.08 is: 474,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,496.50 : 725,303.30 = 344,103.08 : x
  2. Step 2: Convert to fraction form
    525,496.50/725,303.30 = 344,103.08/x
  3. Step 3: Cross multiply
    525,496.50x = 725,303.30 × 344,103.08
  4. Step 4: Simplify right side
    525,496.50x = 249,579,094,117.13
  5. Step 5: Solve for x
    x = 249,579,094,117.13/525,496.50
  6. Step 6: Final answer
    x = 474,939.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.