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Finding the Fourth Proportional to 565,312.80, 847,442.16 and 191,074.08

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Solution

The fourth proportional to 565,312.80, 847,442.16 and 191,074.08 is: 286,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,312.80 : 847,442.16 = 191,074.08 : x
  2. Step 2: Convert to fraction form
    565,312.80/847,442.16 = 191,074.08/x
  3. Step 3: Cross multiply
    565,312.80x = 847,442.16 × 191,074.08
  4. Step 4: Simplify right side
    565,312.80x = 161,924,231,075.21
  5. Step 5: Solve for x
    x = 161,924,231,075.21/565,312.80
  6. Step 6: Final answer
    x = 286,432.98

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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.