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Finding the Fourth Proportional to 495,345.24, 743,017.86 and 121,365

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Solution

The fourth proportional to 495,345.24, 743,017.86 and 121,365 is: 182,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,345.24 : 743,017.86 = 121,365 : x
  2. Step 2: Convert to fraction form
    495,345.24/743,017.86 = 121,365/x
  3. Step 3: Cross multiply
    495,345.24x = 743,017.86 × 121,365
  4. Step 4: Simplify right side
    495,345.24x = 90,176,362,578.90
  5. Step 5: Solve for x
    x = 90,176,362,578.90/495,345.24
  6. Step 6: Final answer
    x = 182,047.50

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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.