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Finding the Fourth Proportional to 434,559.10, 651,838.65 and 382,027.90

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Solution

The fourth proportional to 434,559.10, 651,838.65 and 382,027.90 is: 573,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,559.10 : 651,838.65 = 382,027.90 : x
  2. Step 2: Convert to fraction form
    434,559.10/651,838.65 = 382,027.90/x
  3. Step 3: Cross multiply
    434,559.10x = 651,838.65 × 382,027.90
  4. Step 4: Simplify right side
    434,559.10x = 249,020,550,598.34
  5. Step 5: Solve for x
    x = 249,020,550,598.34/434,559.10
  6. Step 6: Final answer
    x = 573,041.85

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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.