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Finding the Fourth Proportional to 364,438.23, 502,708.24 and 283,737.93

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Solution

The fourth proportional to 364,438.23, 502,708.24 and 283,737.93 is: 391,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,438.23 : 502,708.24 = 283,737.93 : x
  2. Step 2: Convert to fraction form
    364,438.23/502,708.24 = 283,737.93/x
  3. Step 3: Cross multiply
    364,438.23x = 502,708.24 × 283,737.93
  4. Step 4: Simplify right side
    364,438.23x = 142,637,395,411.54
  5. Step 5: Solve for x
    x = 142,637,395,411.54/364,438.23
  6. Step 6: Final answer
    x = 391,389.77

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1.5x scale

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.