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Finding the Fourth Proportional to 623,746, 935,477.89 and 286,462.41

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Solution

The fourth proportional to 623,746, 935,477.89 and 286,462.41 is: 429,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,746 : 935,477.89 = 286,462.41 : x
  2. Step 2: Convert to fraction form
    623,746/935,477.89 = 286,462.41/x
  3. Step 3: Cross multiply
    623,746x = 935,477.89 × 286,462.41
  4. Step 4: Simplify right side
    623,746x = 267,979,250,871.12
  5. Step 5: Solve for x
    x = 267,979,250,871.12/623,746
  6. Step 6: Final answer
    x = 429,628.81

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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.