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Finding the Fourth Proportional to 473,378.34, 653,264.53 and 258,518.42

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Solution

The fourth proportional to 473,378.34, 653,264.53 and 258,518.42 is: 356,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,378.34 : 653,264.53 = 258,518.42 : x
  2. Step 2: Convert to fraction form
    473,378.34/653,264.53 = 258,518.42/x
  3. Step 3: Cross multiply
    473,378.34x = 653,264.53 × 258,518.42
  4. Step 4: Simplify right side
    473,378.34x = 168,880,912,674.77
  5. Step 5: Solve for x
    x = 168,880,912,674.77/473,378.34
  6. Step 6: Final answer
    x = 356,756.74

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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.