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Finding the Fourth Proportional to 384,811.16, 577,216.74 and 233,038.83

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Solution

The fourth proportional to 384,811.16, 577,216.74 and 233,038.83 is: 349,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,811.16 : 577,216.74 = 233,038.83 : x
  2. Step 2: Convert to fraction form
    384,811.16/577,216.74 = 233,038.83/x
  3. Step 3: Cross multiply
    384,811.16x = 577,216.74 × 233,038.83
  4. Step 4: Simplify right side
    384,811.16x = 134,513,911,581.45
  5. Step 5: Solve for x
    x = 134,513,911,581.45/384,811.16
  6. Step 6: Final answer
    x = 349,558.24

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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.