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Finding the Fourth Proportional to 495,852.84, 684,271.80 and 269,496.72

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Solution

The fourth proportional to 495,852.84, 684,271.80 and 269,496.72 is: 371,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,852.84 : 684,271.80 = 269,496.72 : x
  2. Step 2: Convert to fraction form
    495,852.84/684,271.80 = 269,496.72/x
  3. Step 3: Cross multiply
    495,852.84x = 684,271.80 × 269,496.72
  4. Step 4: Simplify right side
    495,852.84x = 184,409,005,688.50
  5. Step 5: Solve for x
    x = 184,409,005,688.50/495,852.84
  6. Step 6: Final answer
    x = 371,902.69

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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.