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Finding the Fourth Proportional to 316,834.32, 437,214.63 and 180,862.86

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Solution

The fourth proportional to 316,834.32, 437,214.63 and 180,862.86 is: 249,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,834.32 : 437,214.63 = 180,862.86 : x
  2. Step 2: Convert to fraction form
    316,834.32/437,214.63 = 180,862.86/x
  3. Step 3: Cross multiply
    316,834.32x = 437,214.63 × 180,862.86
  4. Step 4: Simplify right side
    316,834.32x = 79,075,888,415.64
  5. Step 5: Solve for x
    x = 79,075,888,415.64/316,834.32
  6. Step 6: Final answer
    x = 249,581.20

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Why These Related Problems?

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