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Finding the Fourth Proportional to 416,123.10, 624,184.65 and 316,590.30

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Solution

The fourth proportional to 416,123.10, 624,184.65 and 316,590.30 is: 474,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,123.10 : 624,184.65 = 316,590.30 : x
  2. Step 2: Convert to fraction form
    416,123.10/624,184.65 = 316,590.30/x
  3. Step 3: Cross multiply
    416,123.10x = 624,184.65 × 316,590.30
  4. Step 4: Simplify right side
    416,123.10x = 197,610,805,598.90
  5. Step 5: Solve for x
    x = 197,610,805,598.90/416,123.10
  6. Step 6: Final answer
    x = 474,885.45

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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.