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Finding the Fourth Proportional to 553,302.60, 829,953.90 and 497,315.40

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Solution

The fourth proportional to 553,302.60, 829,953.90 and 497,315.40 is: 745,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,302.60 : 829,953.90 = 497,315.40 : x
  2. Step 2: Convert to fraction form
    553,302.60/829,953.90 = 497,315.40/x
  3. Step 3: Cross multiply
    553,302.60x = 829,953.90 × 497,315.40
  4. Step 4: Simplify right side
    553,302.60x = 412,748,855,760.06
  5. Step 5: Solve for x
    x = 412,748,855,760.06/553,302.60
  6. Step 6: Final answer
    x = 745,973.10

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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.