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Finding the Fourth Proportional to 553,547.70, 829,803.15 and 433,538.10

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Solution

The fourth proportional to 553,547.70, 829,803.15 and 433,538.10 is: 649,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,547.70 : 829,803.15 = 433,538.10 : x
  2. Step 2: Convert to fraction form
    553,547.70/829,803.15 = 433,538.10/x
  3. Step 3: Cross multiply
    553,547.70x = 829,803.15 × 433,538.10
  4. Step 4: Simplify right side
    553,547.70x = 359,751,281,025.02
  5. Step 5: Solve for x
    x = 359,751,281,025.02/553,547.70
  6. Step 6: Final answer
    x = 649,901.14

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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.