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Finding the Fourth Proportional to 553,280.40, 829,774.80 and 174,200.40

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Solution

The fourth proportional to 553,280.40, 829,774.80 and 174,200.40 is: 261,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,280.40 : 829,774.80 = 174,200.40 : x
  2. Step 2: Convert to fraction form
    553,280.40/829,774.80 = 174,200.40/x
  3. Step 3: Cross multiply
    553,280.40x = 829,774.80 × 174,200.40
  4. Step 4: Simplify right side
    553,280.40x = 144,547,102,069.92
  5. Step 5: Solve for x
    x = 144,547,102,069.92/553,280.40
  6. Step 6: Final answer
    x = 261,254.69

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1.5x scale

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.