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Finding the Fourth Proportional to 436,587, 654,989.50 and 152,281.64

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Solution

The fourth proportional to 436,587, 654,989.50 and 152,281.64 is: 228,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,587 : 654,989.50 = 152,281.64 : x
  2. Step 2: Convert to fraction form
    436,587/654,989.50 = 152,281.64/x
  3. Step 3: Cross multiply
    436,587x = 654,989.50 × 152,281.64
  4. Step 4: Simplify right side
    436,587x = 99,742,875,242.78
  5. Step 5: Solve for x
    x = 99,742,875,242.78/436,587
  6. Step 6: Final answer
    x = 228,460.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.