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Finding the Fourth Proportional to 434,075.60, 651,804.60 and 294,453.20

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Solution

The fourth proportional to 434,075.60, 651,804.60 and 294,453.20 is: 442,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,075.60 : 651,804.60 = 294,453.20 : x
  2. Step 2: Convert to fraction form
    434,075.60/651,804.60 = 294,453.20/x
  3. Step 3: Cross multiply
    434,075.60x = 651,804.60 × 294,453.20
  4. Step 4: Simplify right side
    434,075.60x = 191,925,950,244.72
  5. Step 5: Solve for x
    x = 191,925,950,244.72/434,075.60
  6. Step 6: Final answer
    x = 442,148.67

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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.