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Finding the Fourth Proportional to 586,276.80, 881,164.80 and 509,294.40

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Solution

The fourth proportional to 586,276.80, 881,164.80 and 509,294.40 is: 765,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,276.80 : 881,164.80 = 509,294.40 : x
  2. Step 2: Convert to fraction form
    586,276.80/881,164.80 = 509,294.40/x
  3. Step 3: Cross multiply
    586,276.80x = 881,164.80 × 509,294.40
  4. Step 4: Simplify right side
    586,276.80x = 448,772,298,117.12
  5. Step 5: Solve for x
    x = 448,772,298,117.12/586,276.80
  6. Step 6: Final answer
    x = 765,461.46

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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.