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Finding the Fourth Proportional to 520,030.10, 778,489.95 and 489,271.70

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Solution

The fourth proportional to 520,030.10, 778,489.95 and 489,271.70 is: 732,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,030.10 : 778,489.95 = 489,271.70 : x
  2. Step 2: Convert to fraction form
    520,030.10/778,489.95 = 489,271.70/x
  3. Step 3: Cross multiply
    520,030.10x = 778,489.95 × 489,271.70
  4. Step 4: Simplify right side
    520,030.10x = 380,893,101,269.42
  5. Step 5: Solve for x
    x = 380,893,101,269.42/520,030.10
  6. Step 6: Final answer
    x = 732,444.34

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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.