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Finding the Fourth Proportional to 316,710.84, 437,068.02 and 180,742.08

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Solution

The fourth proportional to 316,710.84, 437,068.02 and 180,742.08 is: 249,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,710.84 : 437,068.02 = 180,742.08 : x
  2. Step 2: Convert to fraction form
    316,710.84/437,068.02 = 180,742.08/x
  3. Step 3: Cross multiply
    316,710.84x = 437,068.02 × 180,742.08
  4. Step 4: Simplify right side
    316,710.84x = 78,996,583,036.28
  5. Step 5: Solve for x
    x = 78,996,583,036.28/316,710.84
  6. Step 6: Final answer
    x = 249,428.10

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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.