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Finding the Fourth Proportional to 495,698.34, 684,069.93 and 269,347.62

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Solution

The fourth proportional to 495,698.34, 684,069.93 and 269,347.62 is: 371,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,698.34 : 684,069.93 = 269,347.62 : x
  2. Step 2: Convert to fraction form
    495,698.34/684,069.93 = 269,347.62/x
  3. Step 3: Cross multiply
    495,698.34x = 684,069.93 × 269,347.62
  4. Step 4: Simplify right side
    495,698.34x = 184,252,607,559.07
  5. Step 5: Solve for x
    x = 184,252,607,559.07/495,698.34
  6. Step 6: Final answer
    x = 371,703.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.