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Finding the Fourth Proportional to 432,564.56, 592,603.53 and 416,392.13

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Solution

The fourth proportional to 432,564.56, 592,603.53 and 416,392.13 is: 570,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,564.56 : 592,603.53 = 416,392.13 : x
  2. Step 2: Convert to fraction form
    432,564.56/592,603.53 = 416,392.13/x
  3. Step 3: Cross multiply
    432,564.56x = 592,603.53 × 416,392.13
  4. Step 4: Simplify right side
    432,564.56x = 246,755,446,102.22
  5. Step 5: Solve for x
    x = 246,755,446,102.22/432,564.56
  6. Step 6: Final answer
    x = 570,447.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.