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Finding the Fourth Proportional to 665,421.26, 918,299.75 and 407,293.07

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Solution

The fourth proportional to 665,421.26, 918,299.75 and 407,293.07 is: 562,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,421.26 : 918,299.75 = 407,293.07 : x
  2. Step 2: Convert to fraction form
    665,421.26/918,299.75 = 407,293.07/x
  3. Step 3: Cross multiply
    665,421.26x = 918,299.75 × 407,293.07
  4. Step 4: Simplify right side
    665,421.26x = 374,017,117,729.77
  5. Step 5: Solve for x
    x = 374,017,117,729.77/665,421.26
  6. Step 6: Final answer
    x = 562,075.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.