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Finding the Fourth Proportional to 413,907.40, 620,861.10 and 346,985.20

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Solution

The fourth proportional to 413,907.40, 620,861.10 and 346,985.20 is: 520,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,907.40 : 620,861.10 = 346,985.20 : x
  2. Step 2: Convert to fraction form
    413,907.40/620,861.10 = 346,985.20/x
  3. Step 3: Cross multiply
    413,907.40x = 620,861.10 × 346,985.20
  4. Step 4: Simplify right side
    413,907.40x = 215,429,612,955.72
  5. Step 5: Solve for x
    x = 215,429,612,955.72/413,907.40
  6. Step 6: Final answer
    x = 520,477.80

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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.