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Finding the Fourth Proportional to 473,637, 710,806.18 and 224,319.72

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Solution

The fourth proportional to 473,637, 710,806.18 and 224,319.72 is: 336,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,637 : 710,806.18 = 224,319.72 : x
  2. Step 2: Convert to fraction form
    473,637/710,806.18 = 224,319.72/x
  3. Step 3: Cross multiply
    473,637x = 710,806.18 × 224,319.72
  4. Step 4: Simplify right side
    473,637x = 159,447,843,271.87
  5. Step 5: Solve for x
    x = 159,447,843,271.87/473,637
  6. Step 6: Final answer
    x = 336,645.67

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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.