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Finding the Fourth Proportional to 1,153,544, 1,730,316 and 365,576

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Solution

The fourth proportional to 1,153,544, 1,730,316 and 365,576 is: 548,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,544 : 1,730,316 = 365,576 : x
  2. Step 2: Convert to fraction form
    1,153,544/1,730,316 = 365,576/x
  3. Step 3: Cross multiply
    1,153,544x = 1,730,316 × 365,576
  4. Step 4: Simplify right side
    1,153,544x = 632,562,002,016
  5. Step 5: Solve for x
    x = 632,562,002,016/1,153,544
  6. Step 6: Final answer
    x = 548,364

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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.