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Finding the Fourth Proportional to 566,309.64, 849,989.52 and 286,023.72

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Solution

The fourth proportional to 566,309.64, 849,989.52 and 286,023.72 is: 429,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,309.64 : 849,989.52 = 286,023.72 : x
  2. Step 2: Convert to fraction form
    566,309.64/849,989.52 = 286,023.72/x
  3. Step 3: Cross multiply
    566,309.64x = 849,989.52 × 286,023.72
  4. Step 4: Simplify right side
    566,309.64x = 243,117,164,471.41
  5. Step 5: Solve for x
    x = 243,117,164,471.41/566,309.64
  6. Step 6: Final answer
    x = 429,300.77

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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.