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Finding the Fourth Proportional to 384,547.23, 575,684.93 and 284,040.03

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Solution

The fourth proportional to 384,547.23, 575,684.93 and 284,040.03 is: 425,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,547.23 : 575,684.93 = 284,040.03 : x
  2. Step 2: Convert to fraction form
    384,547.23/575,684.93 = 284,040.03/x
  3. Step 3: Cross multiply
    384,547.23x = 575,684.93 × 284,040.03
  4. Step 4: Simplify right side
    384,547.23x = 163,517,563,367.55
  5. Step 5: Solve for x
    x = 163,517,563,367.55/384,547.23
  6. Step 6: Final answer
    x = 425,221.01

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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.