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Finding the Fourth Proportional to 602,742.06, 904,113.05 and 469,721.84

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Solution

The fourth proportional to 602,742.06, 904,113.05 and 469,721.84 is: 704,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,742.06 : 904,113.05 = 469,721.84 : x
  2. Step 2: Convert to fraction form
    602,742.06/904,113.05 = 469,721.84/x
  3. Step 3: Cross multiply
    602,742.06x = 904,113.05 × 469,721.84
  4. Step 4: Simplify right side
    602,742.06x = 424,681,638,544.84
  5. Step 5: Solve for x
    x = 424,681,638,544.84/602,742.06
  6. Step 6: Final answer
    x = 704,582.72

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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.