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Finding the Fourth Proportional to 420,430.29, 630,270.36 and 154,128.62

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Solution

The fourth proportional to 420,430.29, 630,270.36 and 154,128.62 is: 231,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,430.29 : 630,270.36 = 154,128.62 : x
  2. Step 2: Convert to fraction form
    420,430.29/630,270.36 = 154,128.62/x
  3. Step 3: Cross multiply
    420,430.29x = 630,270.36 × 154,128.62
  4. Step 4: Simplify right side
    420,430.29x = 97,142,697,662.35
  5. Step 5: Solve for x
    x = 97,142,697,662.35/420,430.29
  6. Step 6: Final answer
    x = 231,055.42

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1.5x scale

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.