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Finding the Fourth Proportional to 314,466.40, 471,008.40 and 307,554.40

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Solution

The fourth proportional to 314,466.40, 471,008.40 and 307,554.40 is: 460,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,466.40 : 471,008.40 = 307,554.40 : x
  2. Step 2: Convert to fraction form
    314,466.40/471,008.40 = 307,554.40/x
  3. Step 3: Cross multiply
    314,466.40x = 471,008.40 × 307,554.40
  4. Step 4: Simplify right side
    314,466.40x = 144,860,705,856.96
  5. Step 5: Solve for x
    x = 144,860,705,856.96/314,466.40
  6. Step 6: Final answer
    x = 460,655.59

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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.