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Finding the Fourth Proportional to 586,465.80, 881,448.30 and 509,483.40

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Solution

The fourth proportional to 586,465.80, 881,448.30 and 509,483.40 is: 765,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,465.80 : 881,448.30 = 509,483.40 : x
  2. Step 2: Convert to fraction form
    586,465.80/881,448.30 = 509,483.40/x
  3. Step 3: Cross multiply
    586,465.80x = 881,448.30 × 509,483.40
  4. Step 4: Simplify right side
    586,465.80x = 449,083,276,808.22
  5. Step 5: Solve for x
    x = 449,083,276,808.22/586,465.80
  6. Step 6: Final answer
    x = 765,745.04

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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.