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Finding the Fourth Proportional to 358,461.40, 537,692.10 and 340,965.40

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Solution

The fourth proportional to 358,461.40, 537,692.10 and 340,965.40 is: 511,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,461.40 : 537,692.10 = 340,965.40 : x
  2. Step 2: Convert to fraction form
    358,461.40/537,692.10 = 340,965.40/x
  3. Step 3: Cross multiply
    358,461.40x = 537,692.10 × 340,965.40
  4. Step 4: Simplify right side
    358,461.40x = 183,334,401,953.34
  5. Step 5: Solve for x
    x = 183,334,401,953.34/358,461.40
  6. Step 6: Final answer
    x = 511,448.10

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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.