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Finding the Fourth Proportional to 595,665, 893,503.98 and 152,433

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Solution

The fourth proportional to 595,665, 893,503.98 and 152,433 is: 228,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,665 : 893,503.98 = 152,433 : x
  2. Step 2: Convert to fraction form
    595,665/893,503.98 = 152,433/x
  3. Step 3: Cross multiply
    595,665x = 893,503.98 × 152,433
  4. Step 4: Simplify right side
    595,665x = 136,199,492,183.34
  5. Step 5: Solve for x
    x = 136,199,492,183.34/595,665
  6. Step 6: Final answer
    x = 228,651.16

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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.