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Finding the Fourth Proportional to 602,743.19, 904,114.73 and 469,722.96

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Solution

The fourth proportional to 602,743.19, 904,114.73 and 469,722.96 is: 704,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,743.19 : 904,114.73 = 469,722.96 : x
  2. Step 2: Convert to fraction form
    602,743.19/904,114.73 = 469,722.96/x
  3. Step 3: Cross multiply
    602,743.19x = 904,114.73 × 469,722.96
  4. Step 4: Simplify right side
    602,743.19x = 424,683,448,329.51
  5. Step 5: Solve for x
    x = 424,683,448,329.51/602,743.19
  6. Step 6: Final answer
    x = 704,584.40

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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.