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Finding the Fourth Proportional to 553,098.25, 829,666.82 and 316,332.01

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Solution

The fourth proportional to 553,098.25, 829,666.82 and 316,332.01 is: 474,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,098.25 : 829,666.82 = 316,332.01 : x
  2. Step 2: Convert to fraction form
    553,098.25/829,666.82 = 316,332.01/x
  3. Step 3: Cross multiply
    553,098.25x = 829,666.82 × 316,332.01
  4. Step 4: Simplify right side
    553,098.25x = 262,450,172,800.91
  5. Step 5: Solve for x
    x = 262,450,172,800.91/553,098.25
  6. Step 6: Final answer
    x = 474,509.14

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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.